After moving my last cache in this park, I was told that I filled the park. I see that there was a part that opened up for a cache if I was able to figure out how to place it there. Well, today I placed that cache. Please be careful of muggles, especially during the hot days.
The park is open from sunrise to sunset. During the summer, the park requires proof of residency on the weekends. If you are not from Nassau County, you will have to pay a fee, but there is a way around it. I believe they don't check if you walk in. So I suggest you park nearby, there are plenty of houses to park in front of, and walk.