Patchy hair loss with hyperhidrosis of skin points to the diagnosis of -

hypehyroidism Cutaneous manifestation:Fine velvety smooth skinWarm and moist skin due to increased sweating Localised/generalised hyperpigmentationPruritusFacial flush Palmar erythema, uicaria Pretibial myxoedema Thyroid acropachy. Hair changes:-fine thin hair, non scarring alopecia, alopecia areata. Ref Harrison20th edition pg 1203