Whenever I download the game, Norton 360 always deletes it for some reason.

I know what the problem is, you have a virus called Norton 360. It takes a bit of time to remove but with some work you should be able to get rid of it.

In all seriousness unless you can manage to remove Norton or add an exception rule somewhere in settings it's just going to cause problems. I'd recommend Microsoft Security Essentials, it does the same job and is MUCH lighter on the computer.