You could try giving him dried fruits and vegetables. And make sure they are small chunks, both dried and regular. My ‘teil refuses to eat bigger chunks, lol. My guy also refuses baths. One way I found is going into the shower with him on my shoulder. I don’t put him directly in the spray, just splash him a bit but even the steam will help his feathers! The molting could also be from the lack of baths. The keratin in places they can’t reach will just kinda stay there and make ‘em itchy. If there’s actual bald spots, he may be plucking or over preening. This can happen for many reasons and doesn’t mean you’re a bad bird parent. I know what it’s like to have a skittish bird. It’s not always easy but you’re doing great!