Some advice relating to hosting

[snakes1100]

The front part of each line is the time at which these are set to run

0 1 * * * /scripts/cpbackup
*/15 * * * * /usr/local/cpanel/whostmgr/bin/dnsqueue > /dev/null 2>&1
2,58 * * * * /usr/local/bandmin/bandmin
0 0 * * * /usr/local/bandmin/ipaddrmap
14 0 * * * /usr/local/cpanel/whostmgr/docroot/cgi/cpaddons_report.pl --notify
0 6 * * * /scripts/exim_tidydb > /dev/null 2>&1
*/5 * * * * /usr/local/cpanel/bin/dcpumon >/dev/null 2>&1

minute 1-60 hour 0-23 Day of the Month 1-31 the month 1-12 the weekday 0-7

Basically at this point with cpanel as your host panel, you now have a bunch of scripts being ran, if you look at the 1st & 2nd asterisks you will note one is running every 15 minutes, as with your old vhost, they probably had that server set with a larger memory_limit as well. You could tweak the cron times that they run or update the memory_limit