make sure they take you to the rice n puddings place for dessert.
you're going to have a hell of a time. theres a tonne to do in NYC. i have fond memories of my time in NYC with halx and cynth. you should ample time to fit everything in.
central park walk early in the morning is a must. costs nothing, but is priceless. one of those greyline? tours around the city gives you a good understanding of the city and is good if you are pressed for time.
ill be waiting for your stopover in dubai