I was initially diagnoses with ecema but I think it was wrong. I found the steroid cream just gave me horrible Perioral Dermatitis I then had to get over. I would recommend checking for food intolerance and trying to minimize products for awhile. I found mine was a food allergy, fragrance allergy, and an allergy to my blush. Once I got rid of that I was good until fungal acne.
As for fungal acne, I highly recommend this.
https://www.amazon.com/gp/product/B07857W8MS/ref=ppx_yo_dt_b_search_asin_title?ie=UTF8&psc=1Most anti-fungal creams actually have ingredients in them that feed the fungus so I found they weren't working for me. This is a wash that kills the fungus but that doesn't have anything that feeds it. It's gentle, cheap, and effective. I leave it on for a few minutes before rinsing. I also used the cerave cream as that has nothing in it to feed fungus. I also highly recommend this guy's blog. He did a lot of trial, error, and research on his fungal acne and most of the recommendations are cheap and effective.
https://simpleskincarescience.com/For acne, I recommend a retinol. I have been using differin. It also works well with fungal acne. I miss my retin-a and had always liked the cream versions better than the gel versions but it's a good enough former prescription substitute.
Fragrances, essential oils, and witch hazel were the sources of my skin redness. I just buy cheap fragrance fee products like vanicream, cerave, or cetaphil now. Just watch it with fungal acne because vanicream and cetaphil feed the fungus. Cerave has some that don't but my skin doesn't like them for too long of term.