So sorry you have to rehome Jackpot. I also have allergies, although not really bad like yours. I wish I could have my rabbits in the house, but when I do have one inside for very long, I get sick, and I am sick of getting sick.
Ringworm will show up under black light. When my cat had ringworm, I used my "Stink finder" that I got from the pet store to check out my cat's fur.