You mean complete backup like image backup? I would suggest many free software as easeus, cobian, aomei (
https://www.lifewire.com/free-backup-software-tools-2617964)
why would you backup external drive? it's allready on "backup" location. Next step is cloud based backup. And, yes, with most of previosly mentioned programs you can restore "image" of your system. Which you can daily backup in incremental backups.
I recommend that you backup only important things like pictures, documents etc. Anything else is mostly waste of time on external drive. But, it's your choice, of course