It's important to see a vet that's experienced with snakes on a regular basis- hopefully yours is, but if not, if you need to find another one, & this (link below) can help: Good luck-
I suspect your snake will need to be on an antibiotic for a while to prevent infection that could kill him. Those initial "red spots" mean the cat's claws did break the skin, so even though the bleeding didn't continue, he's not "home free". Antibiotics are not a "sure thing"- to be effective, they have to correctly target the pathogens present. Personally, I'd ask your vet if you should bring the cat too, so they can do lab work to find out what's "on" his claws that may have been injected into your snake, in order to choose the antibiotic that's both safe for your snake and most effective.
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