If anyone wants any NYC advice I'm always happy to help - feel free to pm me
Top tip, use this website to see the free/local events on in the city at any time (appropriately named for us Brighton fans as 'the skint')
https://theskint.com/
It only started yesterday (I live in New York)
Also status of liberty recommendation - if you want to see it but want to do it quickly/for free you can always take the ferry to Staten Island and back, which goes past it