Your case is really encouraging. My situation is really similar to yours. I deal with this sh*t for five months. All the things that you took didnít work for me either. My dermatologist didnít give me antibacterial stuff though. I see her tomorrow I will ask her.
It might be a bacteria cause I had crust upper my lips too, in my moustache.
I know how it is difficult to live with this condition. Iím a student as well and I had to do the presentation of my final year essay with that. What a nightmare.