Welcome to Android Central! I'm afraid it might be a little hard to help you, since there is probably a little bit of a language barrier here. But we'll try!
1. When you try to install the billiards game from Google Play, are you saying that the phone freezes during the installation? Or when you try to open the billiards game? Sometimes apps aren't entirely compatible with a specific device, even if Google Play says it's compatible--there may be bugs or incompatibilities that the developers were unaware of. Can you tell us exactly which billiards game you were trying to install? Give us the exact name and the developer's name as well.
2. Are you saying that your S3 Mini won't charge, and won't connect to your PC? Have you tried charging it from a wall outlet, or only via PC? Have you tried a different USB cable, since cables can fail or be faulty? A faulty cable could also explain why your PC can't seem to read your phone.