New Jersey registers every weapon sold in the state through the dealer, with handguns requiring an additional permit for each. We have a limited time to report stolen weapons ( not sure what that is). I don't believe there are any storage requirements for individuals except that they cannot be left accessible to children.
I have to agree with TAB that there may be more to this story. I know of a guy around here, a vet (admittedly a pain in the a** in his neighborhood). He raised hell and the police came to his home and removed all firearms. We were pretty worked up about it until it came out that he had not admitted to having been treated for undisclosed psychological disorders on his FID application. "Lie" on the applications in NJ, then you can't own ANY of your guns legally.