Plesk installation logs :
/tmp/autoinstaller3.log
Plesk Access and Error logs:
/usr/local/psa/admin/logs/httpsd_access_log
/var/log/sw-cp-server/error_log
Plesk Migration logs:
/usr/local/psa/PMM/logs/migration.log
Logs of the Apache web server on Plesk:
/var/log/httpd/access_log
/var/log/httpd/error_log
Apache Suexec logs on Plesk:
/var/log/httpd/suexec_log
Access and Error logs of the site (account):
/var/www/vhosts/domain.tld/statistics/logs/access_log
/var/www/vhosts/domain.tld/statistics/logs/error_log
MySQL logs of Plesk:
/var/lib/mysql/server.hostname.err (unless defined in /etc/my.cnf)
Named (Bind) logs of Plesk:
/var/log/messages
Email (Qmail and Postfix) logs of Plesk:
/usr/local/psa/var/log/maillog