Out of curiosity, are they due for a shed? It could just be the older scales flaking away and leaving the edges frayed to pick up debris.
It doesn't look like scale rot or a burn. Just some damage to the edges of the scales and dirt.
As for the medical stuff, I dilute iodine until it is fairly light color. If you do leave it on without rinsing (not a bad idea for the first treatment or two for an actual wound issue) then you should take out the water bowl temporarily. The issue with leaving it on is if they soak in the water dish, or even just drinking, the iodine can leech from the skin and into their drinking water. Also, it isn't too bad of an idea to let your snake get a quick soak before you add the iodine in as well. Just in case they realize the water is making them thirsty.
Spot application like a single area wound doesn't need to be as dilute.
For the Neosporin, you always want to make sure it's a type without painkillers. Spot application is usually fine but yes, it can cause issues when overly applied onto a snake. It's much easier to use on lizards. Silver sulfa works pretty well for most injuries on a snake but especially burns.