There is a local grocery where you can purchase deli sandwiches, meats, breads and pizzas for a picnic - https://www.facebook.com/pages/Grandma-Fayes-Grocery/151519008193617. There is no restaurant at the park right now. It is less than a mile from the park if you keep driving past the cabin road.
No, nothing close but Mom and pop stores. Logan is about 20 min. away. I do believe they're building a new Visitor Center, they may have a food court at that time.
No, you gotta carry your own, and pick up after yourself. There are a few shops on the way there where you can buy snacks and light food ( around 4-5 miles before)
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