Nginx access.log only kept for a day

You have daemonized uwsgi app server with /srv/www/site/logs/uwsgi.log as a log. The uwsgi log should contain information as to why it was unable to create the sock file in the first place.

Bah, I finally found the answer after a long time digging. The problem, in my case wasn't that logrotate was failing. That error message is fine, and doesn't actually stop logrotate. The problem was that nginx was not releasing the file handle to the log file upon receiving the -USR1 signal from kill. Long story short, the reason it was not reloading the log files was because the /var/log/nginx folder was not owned by the same user as the nginx worker processes (owned by www-data, running under web). I have no idea how that changed (perhaps because this server was remade recently), but changing the folder to be owned by the same user as the nginx worker processes (and fixing the logrotate file to make new logs as web) fixed the issue.