Is this one of your stepsons? It looks from your signature that they would both be old enough to send pictures themselves? Use their phone to take a photo and they can send it to their mother if they like.
Having been a tourist with just two days in NYC, I remember that the Statue of Liberty is a ferry trip, so takes quite a bit of time. Plan for plenty of transit time and some waits for the sights. I would probably cut your list in half, and go for unique things that he can't see anywhere else.
Have a great time!
M 16 yrs, WH62, P54 3 adult blended kids EA 11/13, BD1 6/14 PA fall 14, BD2 2/15 Piecing 2015, BD3 12/15 Separated 4/16 WH moved OW in 5/16 Divorced 6/15/17