Can I get a rash on my lips from eating almost only cheese and carbs (bread, chips, etc)?

I've been eating really badly for the past month or so. I'm eating only: cheese sticks, cottage cheese, cheddar cheese, pickle relish, bread, peanut butter, grape jelly, and cookies. Can eating this way cause the sides of the outside of my lips to get a rash? it is itchy, red, warm, and a bit scaly