From NJ:

N.J.A.C. 13:54-1.13 Firearms passing to heirs or legatees
(a) Notwithstanding the provisions of this subchapter concerning the transfer, receipt or
acquisition of a firearm, a permit to purchase a handgun or a firearms purchaser identification card
shall not be required for the passing of a firearm upon the death of an owner thereof to their heir or
legatee, whether the same be by testamentary bequest or by the laws of intestacy. A person so
acquiring ownership may retain the firearm if he or she meets the requirements of N.J.A.C. 13:54-
1.5 and 1.6.
(b) If an heir or legatee is not qualified to acquire a firearm, he or she may retain ownership of
the firearm for the purpose of sale for a period of 180 days, which period may be extended by the
chief of police or the Superintendent. During such period the firearm must be placed in the custody
of the chief of police or Superintendent.
(c) In the case of assault firearms or machine guns disposition shall be in accordance with
N.J.A.C. 13:54-5.


Since there is still no registration in NJ, carry-on and enjoy your life. My condolences on the loss of your father.