as I looked into my Task-Manager I saw that both, the Raptr recording and Plays.tv recording processes are running. Is this normal?
This is how it looks like: http://puu.sh/pgzX7/f014b8b0a8.png
If you have both Raptr and Plays.tv running at the same time, then yes it is normal. However, they can work separately so if you want to close one, but keep the other, then that is fine.