I believe so
Yes.
Yes you can. We brought water in
Legally, no one can deny you water anywhere in the state of CA. You might just have to let them smell it to make sure it isn't alcohol. I'd recommend bringing empty water bottles and filling them with ice, which is filtered water, and just letting it melt. You can ask for ice anywhere in the park. It's free. Have fun!
Pretty sure that you can
Yes bottled water is fine but no food from outside
Yes you can, and you should coz water fountain are scarce
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