One thing about neosporin, get the one that does not have painkillers which can be harmful to chickens. If they must have pain killer or a vet recommends it you should use the one with painkillers, but otherwise don’t.So.... Like Neosporin?
Also I don’t think a tiny scratch is a big problem. You might want to wash it out but blue kote isn’t necessary. If it would make you feel better (I know I get a bit overprotective about mine!) you can use the blue kote but to be honest I don’t think you need to.