Hi coldethyl - I am not sure I can help but I can tell you I had a very similar experience two years ago. All of a sudden my skin was so sensitive, I mean it looked and felt like I had a reaction to face products. It was burning and it completely changed from normal balanced skin to greasy, spots, dryness but it was the burning and redness that was so odd. I went to the doctor several times and each one said different things. First it was a reaction to products, dermatitis, then I was told my red raw lips were angioedema and finally when red spots appeared on my stomach, I was told it was hives. Advised that it wasn't worth looking into what causes it as mostly it has no cause and it might go on for years!!!
I was given a leaflet, but the leaflet said they itch, mine didn't itch. They came and went quickly, but weren't always small areas, sometimes my entire nose, cheek and chin area would be red and burning. Then areas on my temples. The only thing that helped was going outside in the cold, switching to really plain face products and basically trying to stay calm. After I realised it wasn't a major allergic reaction (which took a while to accept) - it became easier to deal with.
After about 6 months, everything calmed down. I do think it was hormonal related in my case, I really do. Swings of hormones could rationally change skin sensitivity in my opinion. So I guess working on balancing your hormones would maybe help, the doctor did mention antihistamines as well, but I never took them. Cool air and a spritzer on the skin. I do feel for you, it's not a nice feeling.