There are restaurants and food venues within a 1/2 mile of the park's entrance.
Most likely on weekends, summer does not end until September 22, that would be late sept.
I doubt it, after first week in September no food trucks. Call to make sure.
Bathrooms will be open, but you should definitely bring in your own food and drinks.
I would call the national park service at sandy hook. I believe after labor day everything shuts down
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