,thanks for writing here.
Itchy rash followed by dryness suggest some kind of allergy
.It is quite common to find dryness after any kind of allergy because of disturbance in skin hydration. face wash you are using are not helpful and rather they will worsen it.
Avoid all kind of soaps and face wash for few days.Wash face with cold water only. Apply a good emollient
over affected area at day time.You can apply mild steroid
for faster resolution.
Hope this will solve your query.Take care.