It's obviously the EOS lip balm that dehydrated your lips. It caused the death of your skin cells which led to peeling lips. There's also a woman who filed a lawsuit against EOS lip balm for causing blisters & rashes. Generally, lip balm on healthy skin should be avoided. Our lips are perfectly fine without it. I doubt there's anything wrong with you internally.
Don't bother with dermatologists. They have no clue when it comes to EC. No one does.