A.P.
True, we grew up using peroxide to clear infected wounds, but doctors are now saying soap and water is better. Peroxide can actually damage surrounding healthy tissue. If the skin is dry, I would use a nutritious oil like olive, grapeseed, or sweet almond. For extra antibacterial action, add a few drops of tea tree oil.
Have you used the antibacterial on other boo boos in the past without issue? I only ask because I actually have allergic reaction to neosporin, which I hear is more common these days.