Vitamin A overdose, or use of Vitamin A derivatives like Accutane, has caused peeling lips for many it seems. I agree about checking the ingredients in creams and supplements to avoid an allergic reaction.
I like to keep it simple with one or two edible ingredients for a couple weeks and then see how I react. But now I'm taking supplements specifically for skin health and minerals to support chelation therapy. (terapŪa quelante)
It seems you are in a better position than most of us because your condition is very new.
I speak Portuguese, so if you have a question you can't figure out how to say in English, you can ask me. But your English seems good. Boa sorte!