Hi
This may sound like a bacterial infection or a dermatitis. You may need to have your medications modified in case it may need a next generation antibiotic. Other factors to consider here also is when you constantly touch your face. Most bacterial skin infections may be transmitted through other areas of the body through direct contact.
Wash your hands frequently. Seek follow up consult with a dermatologist or an internist so that your medications be modified. If the second line of medications do not elicit a response, then this may not be bacterial. Fungal infection or a dermatitis may also be persistent or recurrent.
I have almost the same thing on my neck. I can't stand it, mine doesn't itch, but it irritates me. I would also like the answer to that question. I've used peroxcide and other things, but it didn't go away, it turned into a hard bump.