Nope
No coolers allowed within the park, but they have a pavillion with picnic tables located right outside the gate at which you can bring a cooler from your car at the start of the day, set it down, and leave it until you're ready for lunch. Make sure everyone gets a re-entry stamp when going to eat. My family has done this for lunch at Cedar Point my entire life.
Unfortunately no they're not
No. One water bottle per person one small snack per toddler.
No.. But you can bring tote bags
No you're only allowed a single water bottler per person
No, I don't think so.
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