You can plead guilty (and consider a defensive driving course to reduce your points), or you can fight the ticket in order to try to work out a plea bargain or in the hope of prevailing at a hearing.

The indication of "Speeding (Gen 101)" relates to the portion of your ticket pertaining to supporting affidavits, and suggests that you received a supporting affidavit at the time of the stop. I am not sure what form the affidavit comes in, not being from New York.