The Jets season usally ends in August. The only NFL team in NY is the Bills in Orchard Park which is 400 miles from NYC. I would not consider Rutgers colle...
No. You are flying into one state and connecting in another. It would be like flying into Orlando and Connecting in Atlanta
That was not TripAdvisor your were dealing with at all.
In that weather you might be warmer in the pool than outside of it.
Since both place are in New Jersey, I would suggest reposting on the Newark NJ or Secacus NJ forum.
Dispute with your credit card
Where in New Jersey