The reboot has been completed and the kdump extended logging has been enabled. It appears there have been several kernel panics that caused these random reboots throughout the week. The addition of kdump will generate a dump file on any kernel panics that Cloudlinux will review to determine the cause of the kernel panics.
This know this is directly related to Cloudlinux due to the fact that we had this server running on cpanel for over a month before the migrations, with no reboots or issues of this kind. Since incorporating Cloudlinux into the server, the issue started to present itself a few days later after the migrations were complete.
Over the next several days we will be monitoring the server closely for any of these kernel panics and will work closely with the Cloudlinux team to track down the issue and get this resolved ASAP.
If any more information comes to light, we will update this post accordingly.