Is there still a fee to enter the park when the beach is closed for swimming ?

There are fees during the summer season. You can get a season pass or pay per car to enter.

Yes

Kelly ~ Thank you for your question. Yes, Spruce Run Recreation Area charges an entry fee during the summer season which extends from Memorial Day weekend through Labor Day. Additional details can be found on the park's webpage: https://www.njparksandforests.org/parks/sprucerunrecreationarea.html