Any place to eat in park?

Non other than the lodge. Just out side the park there are a lot of places.

Pondarosa has couple of options.

Lodge at shuttle stop has great food.

Looks like everyone above has pretty much covered this question. But do yourself a favor and get an ice cream cone after a hike. It's the best way to cool off. :-)

There's a stop on the shuttle for the lodge which has a restaurant, Springdale just outside the park has many little restaurants ('spotted dogs' is delicious!), and there is also a coffee shop with pastries near the general store just outside the park (it's a little hidden but worth the stop!)

Several places right outside the park entrance, and a very short walk to more in Springdale

Yes, on one of the shuttle stops there is a lodge that serves food.

Outside of the West entrance.

Zion lodge but you have to do the charter bus to get there. Might also be able to hike there. Not sure on that.