Aside from the downloaded game via torrent.
Are you a minor living in your parents home?
Do they have access to your laptop?
Have you asked them if they have installed Team Viewer in order to keep tabs on your computer usage?
Team Viewer would have allowed for the "remote desktop" usage you were seeing, but there is a process to it and the person installing would have either had to have physical contact with the computer, or some other remote program in place such as remote assistance, etc. to put it there in the first place. I am 110% sure there are ways to do such things I am not aware of, and there are a lot of smart folks here giving great suggestions above. My point being, it COULD just be your rents being responsible and watching out.
edit, to clarify. IF a remote hacker had the authority to actually install Team Viewer on your computer, they didn't NEED to install Team Viewer. TV is not a stealth program. It doesn't run in the background without notice. I would suspect family, room mate, such MUCH more than the above scenario.