How to not damage leather while skiving

I did the skiving on a granite/marble stone I purchased from Tandy Leather. Also, I got quite a few scratches on the leather making it not ideal for selling. Since posting this, I have been practicing the skive ensuring my tools are sharp and being more gentle. I still managed to get some dents in the leather from the edge of the stone. Is there any way to remove any of these marks/scratches?

Ah, I did wonder if it was the edge of the paring stone. I used an orbital sander on the edges of mine to avoid this. It may be worth giving yours a power sand.

As for recovering the leather, probably not as you're using aniline dyed vegetable tanned leather in a lighter colour. Just about the worst type of leather to fix with pressure, heat, moisture or surface pigments.

If the bag is unlined, you could use a pointy object right behind the dents to somewhat push them out. This may help a little, but won't fix scratches.