This is a shortlist of various log files for various applications on your Cpanel VPS.
cPanel Installation Logs:
/var/log/cpanel-install-thread0.log
Apache:
/usr/local/apache/logs/access_log /usr/local/apache/logs/error_log /usr/local/apache/domlogs/example.com
Apache SUEXEC Logs:
/usr/local/apache/logs/suexec_log
MySQL:
/var/lib/mysql/hostname.err
BIND (named) Log:
/var/log/messages
Exim:
/var/log/exim_mainlog /var/log/exim_paniclog /var/log/exim_rejectlog
Courier or Dovecot IMAP:
/var/log/maillog
Tomcat Logs:
/usr/local/jakarta/tomcat/logs/catalina.err /usr/local/jakarta/tomcat/logs/catalina.out
cPanel Access Log:
/usr/local/cpanel/logs/access_log
cPanel Error Log:
/usr/local/cpanel/logs/error_log
cPanel License Log:
/usr/local/cpanel/logs/license_log
Stats Execution Logs:
/usr/local/cpanel/logs/stats_log
ChkServd (cPanel Monitoring Daemon) Logs:
/var/log/chkservd.log
cPHulkd:
/usr/local/cpanel/logs/cphulkd.log
cPanel Backup Logs:
/usr/local/cpanel/logs/cpbackup/*.log
Pure-FTP:
/var/log/messages /var/log/xferlog (symlinked to /usr/local/apache/domlogs/ftpxferlog)
Cron Logs:
/var/log/cron
SSH Logs:
/var/log/secure
ModSecurity:
/usr/local/apache/logs/modsec_audit.log /usr/local/apache/logs/modsec_debug_log