Hello and welcome to healthcaremagic
Dandruff or seborrheic
dermatitis is an important cause of scalp itching and increased hair shedding. Dandruff is bound to recur again, therefore people with dandruff should use an antidandruff shampoo to keep the dandruff under check, rather than using a regular shampoo.
If I was your treating doctor I would have asked you to use an antidandruff lotion/shampoo. My choice is 2%
ketoconazole shampoo, thrice weekly for 2-4 weeks followed by once or twice weekly for maintenance. It is available OTC as Nizral 2% solution.
Sometimes a shampoo alone seems insufficient. In that case you should
consult a dermatologist. Your dermatologist might prescribe you a
topical steroid lotion(
clobetasol or mometasone lotion), to be applied twice daily for 2 weeks.
The topical steroid lotion can be stopped once the dandruff is well controlled and thereafter the improvement can be sustained with just an anti-dandruff lotion/shampoo.
Controlling dandruff would improve your hair fall problem too.
I wont advocate using minoxidil in your case, since the hair fall in your case is related to dandruff and minoxidil is available in alcoholic base which would cause further dryness and scaling.
regards