Dear LIC Tenant:
If your father was a rent stabilized tenant, you were a family member entitled to succeed to his tenancy in the event of his passing. The renewal lease you had was likely due to the legal right to succeed to the tenancy, but since the landlord did not go the extra mile and convert the lease to your name, your tenancy continued on the same terms and conditions as your father's tenancy. Without this lease, you would have had to move out when the last lease expired if you did not claim rights as a successor tenant. If the tenancy is rent stabilized it is "legal."
if you want to consider moving out early and surrendering your tenancy rights, is there a reason you did not approach the landlord on your own to request early release and termination?
If you feel you cannot do this on your own, then you should hire an attorney.
The answer provided to you is in the nature of general information. The general proposition being that you should try to avoid a bad outcome if you can.
If you would like to leave, you can approach your landlord. Most landlords are thrilled to allow rent stabilized tenants to leave mid-lease, inasmuch as it allows the owner to raise the rent. Getting out should be a relatively easy negotiation. However, to answer your question, if your father had already passed away and the landlord knew of his death when he offered you a renewal lease, he should have put the lease in your name, not your father's. It would be difficult for him to obtain a money judgment against you, but, of course, should he try, you should never ignore court documents.