Hello you ! Try initial treatments with anti dandruff shampoos containing zinc pyrithione, coal tar or ketoconazole. You can try OTC shampoos from pharamaceutical brands like 8X shampoo, Salisia-KT shampoo.
If it still persists then try the medicated overnight anti-fungal lotions (but on doctor consultation).
Next Steps
Consult for it could be either usual scalp buildup/dandruff/ seborrheic dermatitis causing itchiness over nose or behind ears/scalp psoriasis