>So If I try sanding the countertop as you suggest,
You could try just the 1000 paper wet as a polishing tool that will take just a little of the gelcoat off and hopefully the burns are not too deep. For just a small chip and maybe deeper burns there are gelcoat repair kits, like those made by Evercoat
, where you can mix very small amounts of a thicker gelcoat (more like a paste) using the colors that they supply to get a match to your own that can be applied with popsicle sticks and then sanded and polished to blend in. I suggest giving them a long air cure time to get hard before sanding and polishing..
As for the rest of the counter top/cabinet there are gelcoat restoration products out there or maybe a very light
use of the #1000 paper to polish it up before a good waxing would restore what you have. That would be alot easier than trying to re-gelcoat the whole thing.
You might check this link to my post on the Bolerama
about spraying gelcoat. It is a much bigger job that I recommend researching before starting.
I went this route because I wanted to keep as much of the look of my origingal Boler