Please don't attempt to keep using this server.
If they've had access to remove contents inside /var/log they've had root access meaning they could have done anything. From this point you can't trust the server so recreate it and start fresh. Unless if you were using ZFS (and are able to restore a ZFS snapshot) which is highly unlikely given you're using CentOS there is no way to recover the files.
The only setup I'd trust is one I've done myself. Given your hosting provider set this server up ask them for support. Yes, there will be downtime and yes, it'll be (likely) costly.


