Side note: Wildwood and North Wildwood are quite commercialized with a 3 mile boardwalk full of roller coasters, games, water parks, food,etc. Wildwood Crest next door is cleaner and quieter. No boardwalk, no liquor stores, and no gas stations.
There is a mile long concrete bike path along the beach in wildwood crest that leads directly to the boardwalk. Bike riding is allowed on the boardwalk before noon, but it starts getting crowded by 10am. One of my favorite things to do when I'm down there is get up early, bike up to the boardwalk to watch the sunrise, then stop at one of the many places that serve breakfast and most have outdoor seating. Some of the breast breakfast deals are at the pizzerias which most open by 6 AM.
I would give yourself at least four days if you want to see Manhattan. So much to see and do in the area. In Addition to museums and theaters, there is the Greenway which is an elevated pedestrian walkway made mostly from an old railroad line that you can see much of the city in a whole different perspective.