Outside, Inside, Outside

Question: You throw away the outside, eat the inside, and throw away the inside.

Question: My thickness is no more than a few centimeters, yet my depth can span to infinity. Although mundane, I intimidate most animals. When in my presence, you will inevitably follow me. What am I?

Question: Some people peel my skin some people don't, you eat me nevertheless, with or without, what am I?

Question: What tastes better than it smells?

Question: What goes in the water black and comes out red?

Question: What loses its head in the morning and gets it back at night?