Eczema Treatment Care

Is it usually chlorpheniramine or corticosteroid?

Im 14 years old and i’ve been suffering from eczema around my mouth for around two months. It’s an allergy to dove cream that started it. My doctor prescribed me with hydrocortisone cream and e45 cream. When i take a shower, my eczema turns really flakey and red. When i apply any of these creams that the doctor prescribed me with, it turns red, but the next day its fine again. My biggest worry is the shower tho, I’m afraid to wash my face in the morning or take a shower. I really want this eczema to go, people in school say i have herpes and i suck penis. Please help me, do i have atopic eczema? No family member of mine has ever suffered from eczema.
Thanks!