First off, it is scale rot (I may be a vet-tech, but I am NO vet) you're going to want to take them off what ever bedding they may be on and out them on newspaper ASAP, and keep them on there till they are fully healed. The best home remedy I can recommend is to find Chlorhexidine or Chlorhexiderm Solution to gently scrub and soak the wounds in. I doubt you'll find this in drug stores, but I know you can readily get it off the internet. Do not use peroxide or alcohol as an alternative, it dries to fast and unlike Chlorhexi, is painful. Than you'll want to put a topical ointment on the affected areas. SSD or Silver Sulfadine (sp?) Cream is ideal, but I'm pretty sure you can only get that with a prescription. I would look around, but if no luck, you can just use Polysporine or a triple antibiotic ointment from a drug store.
Keep in mind though, this treatment is not ideal. Antibiotics are ideal. I do understand you're plight in there not being any reputable reptile vets near by, so I would try this and see if anyone else has any other recommendations that you can do from home. If it is scale rot, you seem to be in the early stages of it where the tips of scales are tinged with red/brown color, so this might help. If it doesn't get better or seems to worsen, I's make an appointment with a vet right away to get the right topicals and an injectable antibiotic. If it is not scale rot, what I have recommended cannot hurt them. I am just concerned because I have seen an external parasite that starts off as little red dots like that and they slowly become holes, and what I have recommended will probably not help.
Your sure its not a rat bite? No possible way it could be a rat bite? I guess it wouldn't matter cuz I would recommend the same.
Maybe someone can lend some of their pointers. Add something, take away something...
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Cheers!
• Chelsea Lynn Gardiner
(and Frank M. Wood)