There's no /logs/ in /var/www/discourse, but there is a /log/ -- I assume that's what you meant and not itself a symptom that something's wrong?
production_errors.log has 2 long error dumps, both related to mail sending, and both dated May 23rd, I assume that was related to this previous (now fixed) issue of mine with mail-sending (turns out Mandrill was blocking my account).
Here's some spew from unicorn.stderr.log:
I, [2014-05-09T02:49:51.417329 #50] INFO -- : Refreshing Gem list
I, [2014-05-09T02:50:11.833910 #50] INFO -- : listening on addr=0.0.0.0:3000 fd=14
Loading Sidekiq in process id 90
I, [2014-05-09T02:50:15.775062 #117] INFO -- : worker=0 ready
I, [2014-05-09T02:50:16.848710 #162] INFO -- : worker=1 ready
I, [2014-05-09T02:50:17.810905 #50] INFO -- : master process ready
I, [2014-05-09T02:50:17.831831 #182] INFO -- : worker=2 ready
find: `/var/www/discourse/public/tombstone/default': No such file or directory
I, [2014-05-09T17:20:42.331619 #52] INFO -- : Refreshing Gem list
I, [2014-05-09T17:20:54.147086 #52] INFO -- : listening on addr=0.0.0.0:3000 fd=14
Loading Sidekiq in process id 81
I, [2014-05-09T17:20:56.619255 #128] INFO -- : worker=0 ready
I, [2014-05-09T17:20:57.623547 #134] INFO -- : worker=1 ready
I, [2014-05-09T17:20:58.623708 #52] INFO -- : master process ready
I, [2014-05-09T17:20:58.632684 #139] INFO -- : worker=2 ready
X-Accel-Mapping header missing
X-Accel-Mapping header missing
X-Accel-Mapping header missing
X-Accel-Mapping header missing
X-Accel-Mapping header missing
X-Accel-Mapping header missing
X-Accel-Mapping header missing
X-Accel-Mapping header missing
X-Accel-Mapping header missing
X-Accel-Mapping header missing
find: `/var/www/discourse/public/tombstone/default': No such file or directory
find: `/var/www/discourse/public/tombstone/default': No such file or directory
find: `/var/www/discourse/public/tombstone/default': No such file or directory
find: `/var/www/discourse/public/tombstone/default': No such file or directory
find: `/var/www/discourse/public/tombstone/default': No such file or directory
find: `/var/www/discourse/public/tombstone/default': No such file or directory
find: `/var/www/discourse/public/tombstone/default': No such file or directory
find: `/var/www/discourse/public/tombstone/default': No such file or directory
D, [2014-05-17T02:19:04.539762 #52] DEBUG -- : waiting 16.0s after suspend/hibernation
find: `/var/www/discourse/public/tombstone/default': No such file or directory
find: `/var/www/discourse/public/tombstone/default': No such file or directory
find: `/var/www/discourse/public/tombstone/default': No such file or directory
find: `/var/www/discourse/public/tombstone/default': No such file or directory
find: `/var/www/discourse/public/tombstone/default': No such file or directory
Error during failsafe response: invalid byte sequence in UTF-8
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-1.5.2/lib/rack/utils.rb:104:in `normalize_params'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-1.5.2/lib/rack/utils.rb:96:in `block in parse_nested_query'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-1.5.2/lib/rack/utils.rb:93:in `each'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-1.5.2/lib/rack/utils.rb:93:in `parse_nested_query'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-1.5.2/lib/rack/request.rb:373:in `parse_query'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/http/request.rb:313:in `parse_query'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-1.5.2/lib/rack/request.rb:188:in `GET'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/http/request.rb:274:in `GET'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/http/parameters.rb:16:in `parameters'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/http/filter_parameters.rb:37:in `filtered_parameters'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_controller/metal/instrumentation.rb:22:in `process_action'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_controller/metal/params_wrapper.rb:250:in `process_action'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/activerecord-4.1.1/lib/active_record/railties/controller_runtime.rb:18:in `process_action'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/abstract_controller/base.rb:136:in `process'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionview-4.1.1/lib/action_view/rendering.rb:30:in `process'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-mini-profiler-0.9.1/lib/mini_profiler/profiling_methods.rb:79:in `block in profile_method'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_controller/metal.rb:195:in `dispatch'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_controller/metal/rack_delegation.rb:13:in `dispatch'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_controller/metal.rb:231:in `block in action'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/routing/route_set.rb:80:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/routing/route_set.rb:80:in `dispatch'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/routing> /route_set.rb:48:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/journey/router.rb:71:in `block in call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/journey/router.rb:59:in `each'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/journey/router.rb:59:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/routing/route_set.rb:676:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/middleware/show_exceptions.rb:46:in `render_exception'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/middleware/show_exceptions.rb:35:in `rescue in call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/middleware/show_exceptions.rb:30:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/railties-4.1.1/lib/rails/rack/logger.rb:38:in `call_app'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/railties-4.1.1/lib/rails/rack/logger.rb:22:in `call'
/var/www/discourse/config/initializers/quiet_logger.rb:10:in `call_with_quiet_assets'
/var/www/discourse/config/initializers/silence_logger.rb:24:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/actionpack-4.1.1/lib/action_dispatch/middleware/request_id.rb:21:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-1.5.2/lib/rack/methodoverride.rb:21:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-1.5.2/lib/rack/runtime.rb:17:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-1.5.2/lib/rack/sendfile.rb:112:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-mini-profiler-0.9.1/lib/mini_profiler/profiler.rb:193:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/railties-4.1.1/lib/rails/engine.rb:514:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/railties-4.1.1/lib/rails/application.rb:144:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/railties-4.1.1/lib/rails/railtie.rb:194:in `public_send'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/railties-4.1.1/lib/rails/railtie.rb:194:in `method_missing'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-1.5.2/lib/rack/builder.rb:138:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-1.5.2/lib/rack/urlmap.rb:65:in `block
in call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-1.5.2/lib/rack/urlmap.rb:50:in `each'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/rack-1.5.2/lib/rack/urlmap.rb:50:in `call'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/unicorn-4.8.2/lib/unicorn/http_server.rb:572:in `process_client'
/var/www/discourse/lib/middleware/unicorn_oobgc.rb:95:in `process_client'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/unicorn-4.8.2/lib/unicorn/http_server.rb:666:in `worker_loop'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/unicorn-4.8.2/lib/unicorn/http_server.rb:521:in `spawn_missing_workers'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/unicorn-4.8.2/lib/unicorn/http_server.rb:140:in `start'
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/unicorn-4.8.2/bin/unicorn:126:in `<top (required)>'
/var/www/discourse/vendor/bundle/ruby/2.0.0/bin/unicorn:23:in `load'
/var/www/discourse/vendor/bundle/ruby/2.0.0/bin/unicorn:23:in `<main>'
D, [2014-05-21T15:38:41.896176 #52] DEBUG -- : waiting 16.0s after suspend/hibernation
find: `/var/www/discourse/public/tombstone/default': No such file or directory
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/unicorn-4.8.2/lib/unicorn/http_server.rb:206:in `pid=': Already running on PID:52 (or pid=/var/www/discourse/tmp/pi$
from /var/www/discourse/vendor/bundle/ruby/2.0.0/gems/unicorn-4.8.2/lib/unicorn/http_server.rb:135:in `start'
from /var/www/discourse/vendor/bundle/ruby/2.0.0/gems/unicorn-4.8.2/bin/unicorn:126:in `<top (required)>'
from /var/www/discourse/vendor/bundle/ruby/2.0.0/bin/unicorn:23:in `load'
from /var/www/discourse/vendor/bundle/ruby/2.0.0/bin/unicorn:23:in `<main>'
I, [2014-05-22T19:01:54.940548 #59] INFO -- : Refreshing Gem list
I, [2014-05-22T19:02:08.653515 #59] INFO -- : listening on addr=0.0.0.0:3000 fd=11
Attempting to kill pid 81
Loading Sidekiq in process id 90
I, [2014-05-22T19:02:13.165951 #59] INFO -- : master process ready
I, [2014-05-22T19:02:13.166531 #59] INFO -- : reaped #<Process::Status: pid 137 exit 0> worker=0
I, [2014-05-22T19:02:13.166658 #59] INFO -- : reaped #<Process::Status: pid 141 exit 0> worker=1
I, [2014-05-22T19:02:13.267569 #59] INFO -- : reaped #<Process::Status: pid 145 exit 0> worker=2
I, [2014-05-22T19:02:13.267864 #59] INFO -- : master complete
I, [2014-05-22T19:02:14.690944 #154] INFO -- : Refreshing Gem list
E, [2014-05-22T19:02:24.551945 #154] ERROR -- : adding listener failed addr=0.0.0.0:3000 (in use)
E, [2014-05-22T19:02:24.552164 #154] ERROR -- : retrying in 0.5 seconds (4 tries left)
E, [2014-05-22T19:02:25.052683 #154] ERROR -- : adding listener failed addr=0.0.0.0:3000 (in use)
E, [2014-05-22T19:02:25.052897 #154] ERROR -- : retrying in 0.5 seconds (3 tries left)
E, [2014-05-22T19:02:25.553373 #154] ERROR -- : adding listener failed addr=0.0.0.0:3000 (in use)
E, [2014-05-22T19:02:25.553577 #154] ERROR -- : retrying in 0.5 seconds (2 tries left)
E, [2014-05-22T19:02:26.054088 #154] ERROR -- : adding listener failed addr=0.0.0.0:3000 (in use)
E, [2014-05-22T19:02:26.054282 #154] ERROR -- : retrying in 0.5 seconds (1 tries left)
E, [2014-05-22T19:02:26.554722 #154] ERROR -- : adding listener failed addr=0.0.0.0:3000 (in use)
E, [2014-05-22T19:02:26.554912 #154] ERROR -- : retrying in 0.5 seconds (0 tries left)
E, [2014-05-22T19:02:27.055480 #154] ERROR -- : adding listener failed addr=0.0.0.0:3000 (in use)
/var/www/discourse/vendor/bundle/ruby/2.0.0/gems/unicorn-4.8.2/lib/unicorn/socket_helper.rb:185:in `bind': Address already in use - bind(2) (Errno::EADDRINUSE)