Yes, STOP USING PEROXIDE!

It's been found to do more damage than good because it damages the healthy tissue surrounding the wound! (So don't even use it on minor cuts and scrapes.)

Neosporin is good, and I have been fairly impressed with the results I'm getting from Mederma on my road rash... but I don't know how much of that is in my head. (And I couldn't bring myself to only use the Mederma on half of the wound just for the sake of science...)