Not sure if this is one fanfic or separate ones;
Puck ends up moving into the Hummels house I think with his younger sister and the Police come knocking as he's violated his parole by moving from his Moms. Turns out his Mom is a drunk and she crashed the car and Puck took the blame for it, think it also involved his Uncle Jackie who has a long term partner. They get social workers/parole officer to help them sort out the legalities.
Kurt stands up for Puck and Puck explains to Finn why he slept with Quinn, it was the date that his dad left years ago, he always gets drunk on that day so Quinn took advantage of him as he was drunk before 12. They used to get together and play games when they were younger but now they're older Puck just drinks on that day.