45 yr male with skin lesion all over body with itching. diagnosis and treatment ?

23yrs,M, c/o itchy scaly lesions over upper extremities and back of chest for last 3wks, Pt was already treated by Permethrin, but there is no improvement, DX Please.

A 7-year-old male child was presented with chief complaints of a dry reddish lesion on his forehead for the past 15 days. The lesion progressively increased to the present size of 3 cm × 3 cm and was accompanied with itching. On examination, the lesion was a circumscribed, scaly, erythematous annular plaque and had an inflammatory advancing margin. No central clearing was present. The child gave a history of similar lesions on his face for the past 1-year which came off and on and were treated with over the counter topical medications. Plz, suggest the line of treatment.

16 year old male patient, no medical history, skin lesion appeared 3 months ago, was initially only hypopigmented, became erythematous after scratching. ocasionally pruritic, no scaling diagnosis and treatment?

onset acute, and lesion over Hand lag and face with severe etching.. no response of anti fungal.. since one Month.. suggest your diagnosis and treatment please