As a cautionary tale in case anyone else has weirdly sensitive lips, I have to be *very* selective with lip treatments. I've had a couple phases where my lips have gotten painfully chapped and swollen and irritated, so I put more of whatever I'm trying at the moment on, and it gets worse, and I put more on, and it gets worse... and then I've realized that I'm probably allergic to the lip treatment and have been exacerbating the allergic reaction while trying to soothe it. I've had this with Aquaphor, Vaseline, Laneige, and a few other things.
So I guess if your lips seem to be getting worse, take a pause from whatever you're using (at least a few days or a week... it takes my lips a while to settle down) and see if it might be the cause of the problem.