I don't think so. Little red spots don't sound like herpes or syphilis to me, or like anythning to do with Minocycline. They do sound like the possible result of friction. I would keep the area moist (vaseline, etc.), don't rub or examine the area too closely, and see if the spots don't go away in a week or 10 days. If they're still there then, or if they go away and come back, you should show them to a doctor.
Take care.
Dr. Rockoff