While he is in his hospital tank I would silicone the plexi divider edge on the top also.

I would soak him in boiled/cooled dechlorinated water, then allow him to air dry on paper towels. Then do as Grif mentioned and gently apply plain original neosporin on the cuts with a Qtip.

It sounds like he needs further antibiotic intervention if the wounds are draining purulent fluid.