Yes there are; but it's better than take it out of the park.because there are more options.
Yes
Yes of course, you have a lot of opcion to have lunch, dinner .All you wants. And you can carry your food too.
Yes in a small bag pack ,only cold food. There no microwave to used in there
You can take a cooler if you rent a cabana. You can get away with minor snacks and drinks in your bag
Yes you can we brought them in our back pack . Water and chips. Probably even more .
I don't think so.
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