One of my cats had a really dry patch on her ear she kept scratching to the point of bleeding but the vet said they weren’t concerned about it. A week ago I noticed three little dots around this (my second cat) cats nose now they have gotten a lot bigger and I can tell he has been scratching it a lot now the skin is exposed in his nose and it’s bleeding. A long time ago I had a cat who got ringworm on her nose but it looked like an irritated circle and this does not look like that? Any ideas what it could be? This cat is new and when I introduced him to my cats he got into some small cat fights with them, could this be scratches from fighting? If it is ringworm is there anything I can possibly do for him from home? I’ve heard coconut oil can be good, I also have medicated shampoo, are there anti fungal creams and I can buy for him?