yes
you must surrender your vehicle registration and plates to the New York DMV
I also need to find information about receiving a suspension order for an unsatisfied judgment pertaining to a car accident.  What must I do to have the suspension removed?
You would have to contact the attorney or court that issued the judgment and the info you find on the suspension order will advise you of the name of the court and the court index number for the judgment; and the DMV cannot clear the suspension without the proof of the court.