I am not a great fan of
(a) using memory sticks as backup media (they are not particularly stable for that purpose .... prone to corruption and sudden failure, they are intended to be ultra-short-term storage media, plus they are slow)
(b) Disk cloning/image type backup regimes.... (you're wasting a lot of time and space backing up Operating System and Software, both of which you can and should reinstall from scratch.... focus your efforts on backing up files which you can't restore by other means). Plus you won't really get a true clone/image of your disk unless you unmount it, boot of something else and clone it.
However, that said, any backup software that implements cloning/imaging should achieve what you're looking for. Can't remember any names off the top of my head, but will come back and update [edit: Acronis is one name... not a recommendation per se, just a name I've heard of]