I've read that some amount of blood is normal in first time layers so as long as it does not continue it shouldn't be an issue. I would like to state though that although a bird lays eggs doesn't necessarily mean they are healthy or happy, although if they lay a good egg, it at least says that they are in good health. I know of a family who found a cockatiel in their yard, decided to keep her, and put her in a small cage. She never laid any eggs. Her cage was upgraded to one about 3 times larger (although, IMO, still too small for a cockatiel), and she started laying eggs. Now, I should mention that at the time this house was overrun with cats, and everyone in the house, if they were not smokers, they were heavy smokers. Not only this, but at least one of the kids does drugs and a bunch of other unhealthy things. Well, this little tiel laid eggs. Her eggs were removed, and she laid more. She was on a seed only diet, and constantly covered up because she was "too noisy." And then they "forgot" to feed her, and she started to slowly starve to death. Still, she laid eggs, which became mishapen (ablong, or small, or?), and she still sat on them. When I took her in, she was 56 grams, or less, and she's supposed to be around 90+ grams. I've had her for some years now, cage-free for quite a while, a much larger choice of foods, she's been keeping a weight about 84-88 grams, and she's never laid an egg for me! She now lives in a cage-free environmen with other cockatiels, and the only time it's dark is when it's dark outside!
It sounds like you've been doing a lot for Kyle, and that's great! As far as her laying eggs specifically, well do you want to breed her and possibly loose her as a companion? Generally speaking, breeders do not make good pets, and pets do not make good breeders. If you got her a mate, there's no guarantee the two would get along... and I've heard horror stories of males killing their mates. You'd also have to be prepaired to handfeed, which means knowing how to handfeed and having the proper setup to handfeed. Personally though, I'd recommend to remove the egg, put the egg in the fridge, and then change around her cage and environment to discourage her from laying more. Also, remove her nest, as this is only encouraging her to lay more eggs. If she lays another egg, remove that one as well. If she lays a third egg, then give her back all of her eggs and allow her to sit on them if she so pleases, for about 3-4 weeks.
Be careful on the cheese, since birds are lactose intolerant and their bodies can't process most dairy products very well. Hard cheese is better than soft cheese.
As for the skin issues, some Red Palm Oil may help if you supplement it in her diet once a week. If you have any health food stores near you, check out the isle for cooking oil and you might be able to find some there.... or even checking your local bird stores for palm nuts to see if any carry them. RPO is great for the skin, the eyes, their feathers, even their sinus!
You may also be interested in checking out this page... petting in birds, especially hormonal ones, should be kept to the head and neck region, anywhere else could potentially be sexual stimulation.
How Not to be a Tease