I am sorry for your loss.
You might want to consult (at least briefly) with a local attorney (New Jersey licensed) who specializes in probate and estates.
See https://www.avvo.com/probate-lawyer/nj.html
You also might want to consult, in person, with a tax professional.
See https://taxexperts.naea.org/listing/service/estates-gifts-trusts
You definitely do not need to file a Form 706 unless the gross estate gross estate is more than $11,700,000.
See https://www.irs.gov/instructions/i706#en_US_202112_publink1000276625
You also do not need to file a Form 1041 unless the estate had gross income of $600 or more for the tax year.
See https://www.state.nj.us/treasury/taxation/inheritance-estate/inheritance.shtml
