You can backup your entire site plus mysql database in cpanel under the icon "backup" You can download a "home directory" backup, and a mysql backup and actualy save one to your file manager to. Hope this helps.
Leave the alias`s alone, but if you see them then your on the right page. There should be a button to push underneath each one. 2 of them download onto your computer and the other one goes into your file manager as a .zip file. Or gzip I think it is. All you have to do is press "Generate/download full backup" "Download a home directory backup" or "download a mysql database backup". it asks you on 2 of them were you want to save and the other goes to your "file manager".