To complete probate you should contact the Surrogate in Ocean County to see what he or she requires. Probate aside, if the Estate passes more than $500 to beneficiaries, you will need to file a NJ Inheritance Tax return, which is due 8 months after the date of death. (A NJ Estate Tax return is only required for Estates above $675,000).
I am attaching a summary of the NJ Dept. of Treasury. http://www.state.nj.us/treasury/taxation/transinher.shtml
Feel free to contact me if you need help with the return.
Barry J. Dubrow, Esq.