Problem:
... | CORE | WARN | (pkg/logs/input/file/scanner.go:211 in startNewTailer) | open /var/log/nginx/access.log: permission denied
... | CORE | WARN | (pkg/logs/input/file/scanner.go:211 in startNewTailer) | open /var/log/nginx/error.log: permission denied
Solution:
chmod 755 /var/log/nginx
chmod 644 /var/log/nginx/*.log
chmod 644 /var/log/nginx/*.gz
nano /etc/logrotate.d/nginx # change 640 to 755 for "create" directive