It seems like you have got Contact Dermatitis
due to the facial or the peel,so better to avoid that in future.
For now i think you need to start applying 1% Hydrocortisone
ointment on the areas involved twicw a day for at least 57 days.
You should also take Tablet Zyrtec
10 mg once in the night with the ointment.
It should get settle in 3-7 days time but if not then you need to see your derm to have look and proceed further.
Thanks alot and all the best.