I can’t help you with the first two questions as I haven’t had ring worm since I was teenager. I do remember it starting as an itchy patch (but not terribly itchy) and then the patch expanded to a little ring shape. I am not sure about the itchy bumps. Could have spread, or it could be an allergic reaction of sorts???? Sorry no help with that.
Question #3: Yes you can spread this to your bunny. I would just wash your hands thoroughly or maybe get some of those disposable thin latex gloves, and wear a clean long sure while cleaning. The ring worm will clear up within a couple of weeks so this is only for a short time.Also note, you may have already spread it to your bunny so just keep an eye out for that.
Someone else may have some recent experience and offer up advice, but this is the best solution I could come up with. I would call you Doctor on Monday and ask those questions as well.