I don't understand why there is a case going on with Velcoro being the father or not. If the child's birth certificate has his name, then no judge can change that. Only thing that is possible here is that he could be declared unfit to do all duties as father because of his habits. But that's about it.
I figured that's what the show has been showing us. His babymama chewing him out for being a bad dad (bully incident), trying to pay him $10k to sign his parental rights over, and now they're going the expensive court route.