For the little haze I see in the pictures with the intense light and knowing gel-coats and how they polish, I would recommend,
1: Seal the gel-coat with your favorite wax or sealant and move forward in life.
2: Re-polish everything that's hazy using the Captain's one-step Compound & Polish with a foam cutting pad on an orbital polisher then seal the surface.
3: Don't inspect the results with that light anymore.