Yes, you can bring a cooler but you must keep it in your car. There are picnic tables in the parking lot and you can pass in and out of the park all day.
Not in the water areas
Yes but you can't take it it in ... you can even grill outside the park in the parking lot ...they give you bracelets so you can enter and exit no questions
Yes you can picnic outside of entrance. They have snack foods too. You have a wristband, come and go as often as you need.
Parking area is close proximity & convenient to go out to eat :-)
It's not allowed in the park
Yes what Eric says and there is also picnic tables up by the gate.
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