Does It Matter If I Eat the Stickers on Fruits and Vegetables?

No. But why would you?

Come to think of it, I've got plenty of plastic bags lying about the place for you to eat as well.

If tomatoes come in a plastic box, can I eat the box?

Obligatory Charlie eats a pear clip: https://www.youtube.com/watch?v=xNdERWR3id0