Yes to both. If you do leave, don't forget to get your hand stamped so you can come back in.
They have a picnic area where you can storage your cooler or some people leave it in their car and go out to eat and come back in. Just make sure to get your hand stamped.
Do they search you?
Both are 👍
Yes
They have a OUTSIDE area to store a cooler, and tables to eat at outside of the park. Make sure that they stamp EVERYONE'S hands so that you can get back in after.
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