Hi there DTJ07
, welcome to BleepingComputer.
I don't really understand your problem- you mean that you have no Desktop background or icons? Without meaning to sound patronising, are you sure you didn't delete them all? As for the problem involving your mouse, are you using a wireless one? This is often the reason for things like this happenening, maybe the batteries simply need changing.
If you still think that this is being caused by malware, have you run a scan with your anitivirus in Safe Mode