Well I am happy to report that I have cleaned the wounds and he is now on paper towels. He also seems calm and happy. A little surprised at first when I woke him up but he was fine once he realized it was me. I was also able to get betadine from Walgreens on my way home from work. I might run by petco tomorrow and see if I can find Vetericyn so I don't have to use Neosporin.
He did flinch a little when I touched the q-tip to the wound, but I mean it is an injury so I imagine it's going to hurt some. However, I will admit that the pictures do not do one of the "holes" justice. The one on the left side (when looking at it) looks more like an actual puncture than a nick. It's also right on the edge of one of his belly scales so it looks like the rat's tooth went in between the scales rather than through them. I know that the scales are pretty much his armor, but the worse left one didn't bleed at all so...
I plan on giving the local exotics vet a call tomorrow to get a professional opinion and see if he thinks I should bring him in or not. Thank you everyone who has helped!