I have a similar condition
on my chin. Redness that would never completely
go away and acne
bumps that would get quite large and deep filled with puss. I did see a dermatologist and am currently taking Doxycycline which has helped. I was using a Rx cream, but it got too costly and wasn't that effective over time. Oddly enough, I found a home treatment that's helped. After I shower I apply some apple cider vinegar to my chin. Once it dries, I apply 100% aloe vera gel over it.