A: That means unlicensed operation and improper plate charges will be covered under your plea to the amended charge with no independent plea to them. You will only be pleading to the reduced offense amended from the speeding. You need to note, however that disobeying a traffic device IS a moving violation that can carry points, but the points associated will likely be lower than the original speeding.
A: The answer is YES. Many local courts hold court sessions only few times a month and they were closed during the COVID-19 pandemic, leading to their serious case backlog. Depending on the original speed alleged and the policy/personality of the town/prosecutor/judge, you may be able to negotiate a plea for a non-moving violation (assuming that this is not a TVB matter). You should consult with a local attorney.
A: There are several statutes in NY under which a summons is issued to a driver like you who didn't know his license was suspended. The violation can be a criminal offense (misdemeanor or felony) or a traffic infraction. If your is a traffic violation, you may not need a lawyer, and you may be able to get the charge dismissed or reduced to a next-t-nothing offense with a fine only by producing evidence that you have been restored, etc. If you have been hit with a criminal offense then you will want to consult with an attorney who has the sense of the local personality of the township where your case is pending.