You aren't allowed to bring food or drink into the park from outside, but if you brought an empty cooler it should be fine.
No
No, they won't let you in. There's no outside food or drinks allowed in the park. However you can leave it in your car and go out and come back in
No. They don't allow it
They might put it in customer service
They allow bags so it shouldn't be a problem if it's in bag form.
Haven't seen coolers in the park all the times I have been there. If its a bag version then I do believe so. They do bag checks before you go into the park though so you might be stopped.
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