The red rashes on the upper part of your lips may be due to inflammation or infection.
Inflammation includes eczema (or cheilitis in medical term). This, in turn, may be due to internal sensitivity or contact dermatitis.
Infections may be viral such as herpes simplex or hand, foot & mouth disease.
I would recommend that you consult a dermatologist to help further evaluate the cause of your lip rash as effective treatment is targeted at the most likely cause identified.
