Destroyed pilings will delay the construction by about a month, a city official said.
Upgrades are planned for Paul Raimonda Playground, including a new spray shower shaped like a piano.
The museum has doubled in size by taking over the old skating rink at Flushing Meadows Park.
Attendance at Rockaway Beach was down by more than half this summer, the Parks Dept. found.
The new boardwalk plans also do not include a protective seawall, which angered residents.
The Olympic high dive platform at Astoria Park is set to become part of a new performance center.
A vandal used an excavator to destroy the Far Rockaway Park West playground.
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