A:AnswerYes, all your digital games will show up in your games library for you to download as long as you're signed in with the same Playstation/Sony account.
A:AnswerYou can do a hard reset in the back of the controller. You may need a pin or anything thin enough to press the little button. If that doesn’t work I would suggest contacting either Best Buy. If not contact Playstation, the controller has a 1 year warranty.