Unlawful restriction.
I'm not a legal scholar, but I would bet that most of New Jersey's gun laws can be tried under Heller. They are nothing if not "arbitrary and capricious". But as I understand it, a suit like that requires a "good defendant" and that will be someone who takes away all the classic liberal arguments.
It will have to be a minority, preferably a black woman, who has suffered recent violence, and can demonstrate a need for self protection that doesn't meet the NJ standard.
I don't think this kid is going to make the cut.