Last I heard the top of the Statue of Liberty is now off limits because the stairs used to get to the top are considered a safety hazard if there is an emergency. When I last heard the top was going to be closed until they can come up with a solution to the hazard.
This may improve the wait time to see it and it is still worth the wait.
American Football has started up again and you should be able to catch one of the first games of the season. Well, I dont know when the NY Giants are playing or where they are playing but that is an option. I think baseball is still going also.
I might also be worth going to see Niagra Falls. Its nothing special but its a nice photo op and its pretty awesome to stand there and watch all of that water fall over the edge and hear it crash. When I was there many years ago they had boat tours to the base of the falls and history lessons on how they stopped the falls back in the day for some reason I cant remember.
Also, if your into history it might be worth visiting Massachusetts (sp bad I know). This is where the pilgrams landed and founded the country.
Washington DC, isnt too far either.
Philidelphia, Pensylvania is also a historical landmark, where the declaration of independance was signed IIRC. the Liberty Bell is also there. Its the big bell with the crack in it. I cant remember ther history behind it though. I think it was struck and cracked when the constitution was signed or passed or something.
The US still has Ticket Master,
www.ticketmaster.com, where you can get tickets to just about anything and everything.
Good luck and HAVE FUN!!!