Fixing Crack in Coating

I have a pair of LP Classics in wine red that were water damaged. There are a few vertical cracks that I had thought went through to the wood. I cut away some of the coating (polyurethane, correct?) around the cracks and the cracks are only present on the coating. I know I could remove the coating and redo the entire finish but I'd like to spot fix it. I've attached a photo of one of the cracks that I didn't remove the coating from.
I have two questions specifically:
1) Is there a way of softening the cracked coating and allowing it to fuse?
2) The wood under the cracked areas is also discolored. Will I need to stain them to match the rest of the drum or will a new coating bring take care of that? Is LP's coating colored?
Does anybody have any recommendations on fixing these?
I have two questions specifically:
1) Is there a way of softening the cracked coating and allowing it to fuse?
2) The wood under the cracked areas is also discolored. Will I need to stain them to match the rest of the drum or will a new coating bring take care of that? Is LP's coating colored?
Does anybody have any recommendations on fixing these?