From the Norton family the 360 is the worst nightmare of an antivirus suite I've ever seen! It nags about things it thinks you should do, or does its stuff when you wouldn't want it to. Get rid of it. Unfortunately it often digs its roots very deep inside Windows, making it hard to uninstall totally. Since you seem to have all kinds of nasties in your computer, it would be wise to make a clean install instead of an endless cleaning process not knowing if something were hiding and waiting for an unsuitable moment to contaminate your computer again.
Remember that a clean install will wipe everything you have on the C: drive at least, so make a copy of your valuables such as photos and other things that you can't download or install. Before that you might like to clean up a little bit. Start with CCleaner to get rid of temporary files, then run Eset Online scanner with the following Advanced Options ticked: Potentially unwanted and Potentially harmful. Eset is quite good in finding all kinds of nasties, not only viruses, especially with those two options chosen.
There are ways to clean a computer, but the result is never 100% proof. In your case a total clean reinstall is the best solution, I suppose.
