Cuts on scalp, advice? help?

So I’ve had this problem for quite some time now, and now that it’s winter my scalp is even more dry. I suffer from severe dry scalp and I develop cuts very quickly because of the skin being flaky and such.

I also can’t stop picking the cuts after they scab. Are there any shampoos or whatever I can use to soothe my scalp and get me to stop itching?? I also am obsessed with purring running alcohol on the cut & feeling the sting 🥴😭🤷🏼‍♀️ HELP I want my hair back & I know this isn’t healthy!!