Yes. If you are looking at Labor Day - come early to make sure you get one.
Yes. There are grills. I would bring aluminum foil. Some of the picnic areas may be reserved,vso you couldn't use those. There are probably some available. There is a beach. If there are lifeguards, it costs about $4 to go to the beach. $5 to park.
Yes you just pay 5 $ for parking
Yes
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