You just had a procedure done on your face ie mole removal...And it leads to development of a small wound...Now as you are saying that the skin has become rough and dry, so this is a normal mechanism of wound healing
,,,Any wound which develops on our skin leads to some itching while healing....
But what is worrisome is that you are developing small lesions around it,,So i think you should use some antibiotic cream like mupirocin
gel over the affected area 2 - 3 times a day ...so as to prevent any superadded infection over the lesion,,And take oral vitamin c
tablets which will speed up the healing process....
Hope it helps
Dr Geetika Paul