You can save your files to and external hdd or usb drive but just be sure you don't bring the infection over with the saved files. To delete your account you would have to do that on the administrator account. You can always try restoring to an earlier date(a time before the virus) and that will take care of your problem if the virus won't let you do the restore there are other options too.
I have taken plenty of viruses off of friends computers for them some are really nasty and hard to work around while others are simple. Sometimes if the virus won't let you do the restore it is because it changes the file names to . Xyz instead of .
Exe or stop all . Exe programs from loading. But a way around this is to memorize the path you need to take to do a restore and do that as soon as the pc boots up.
Typically any program that boots before the virus the virus can not stop.
1. Log into your mom's account and delete your account from there. Create a new administrator account from there too.
2. Yes, you can save them in flash drives/external but before you copy back the files into your new account, install necessary things first like anti-virus and anti-malware.
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