Is this Folliculitis/Furuncles /Carbuncles? (Photos)

Itchy and inflamed for 6 months on scalp. Rapid hair loss and getting worse. Tends to scratch off skin flakes with multiple hairs in the center of flakes. Sometimes yellow crust drops off too. I've taken 2 kinds of antibiotics and had a small surgery to remove bump on head but bump reappeared again after awhile. I've spent 500 already and was disappointed in GP as it wasn't healed. Please advise.