Do they have a food court or resturants at the hotel if your staying? Are they any trails to walk around the area?

Of course. It's a full service hotel. Check out their website. This information is wildly accessible.

Yes, they have several restaurants with room service, quite pricey though. There are numerous trails on the mountain.

All of this is clearly listed on their website

Lots of restaurants and food options. Buffet option is great, but smaller more Fass food style and pizza also available. The state park should have lots of trails.