@ Lasereth
One shouldn't run the full scan right away. It has been my experience with badly infected machines that one should use the quick scan first, let it detect and remove the bulk of problems, then (most certainly after a required restart) run the full scan. I've found that malware can often "mask" other forms of malware from scans, and requires two scans. In the beginning of using Malwarebytes, I never found a machine that needed a second full scan after the quick then full combo. So quick then full should take care of it.
This is similar to running a Ccleaner Registry scan twice and still finding errors. The reason is one entry was dependent on another and not seen as an error.
@ Warf Rat
The error you received while moving files to your external was certainly the result of trying to move a file larger larger than 4GB to the FAT32-formatted external. The filesystem FAT32 can only handle files smaller than 4GB. If there is nothing yet of value on it, since it sounds like your backup attempts have been frivilous, go to My Computer and format the hard drive to NTFS (right click on the external drive and Format).
There are program settings and browser bookmarks, but I would not worry about these. I do not consider these important. You should make sure YOU KNOW THE PASSWORDS TO YOUR EMAILS AND IMPORTANT WEBSITES. Not "I know them" and then find out it was your browser the whole time that remembered them. I only worry about documents (ie in your My Documents folder). I'd recommend moving the location of your's and your daughter's documents location to the external hard drive. To do this make a folder called Users Documents on the external. Inside that make two folders, one named for you, the other for your daughter. Go to Start and right click on the My Documents icon, Properties. Look Target Folder Location and tell it to move. Navigate it to the folder you just made for yourself on the external, and there you have it. Do the same for your daughters account. Even if your computer craps out, your documents are always saved to the external.
Also, for further reading, check out TFP's Tilted Tech's stickie,
http://www.tfproject.org/tfp/tilted-...e-changed.html . I am not on my computer, just on my phone's browser, and will edit this later when I am at my computer.
EDIT: Just made those edits for clarification.