Looks like peri oral dermatitis to me. I know because I get it. It's a bastard to deal with. And here's the kicker, sometimes mine seems to respond to anti fungal cream, some times antibacterial.
But before we get to what works, can I check your not using any kind of steroid, like cream (anywhere at all, not just the face) or a nasal spray? If you are, stop. This is what definitely makes mine flare up.
I stop using any products at all when I've got it. I try not to apply moisturizer,makeup, cleanser or anything. Sometimes I can't do that, so if I have to wear makeup, I use aveeno to mositurise and aveeno to cleanse it off an rinse with warm water and pat dry.
Moisturiser, despite it being dry, can make it so much worse. I also find I have to go through stages with it. It can be pimply (but no pus, not like an actual spot) and wet and eventually goes right through to a dry and flaky stage. The dry and flaky stage usually means the cycle is coming to end for me.
Try leaving it alone as best you can. Try and antifungal cream on its own. Then, if that doesn't work, stop and use something like fucidin. If that doesn't work, try mixing the two (one in the morning, one at night).
I've had some succes with good old germolene.
Bloody awful, ain't it?