Gel coats are not a mystery. From a detailer's point of view they are like a single stage paint, they oxidize.
So, what you are dealing with is oxidation. To correct oxidation you need:
a. Rotary Buffer
b. Cutting pads:
Woven Wool
Poly/Wool
Foam
c. Compounds
800 grit - heavy
1200 grit - medium
2000 grit - light
Micro Fine
Which pad and which compound you use depends on the severity of the problem, in this case oxidation. If you are absolutely not sure then use the least aggressive pad, a foam cutting pad and the least aggressive compound, the microfine. If that does not work then use the same compound but with a more aggressive pad, in this case, the poly wool pad. If that does not work then go to the 2000 grit compound and the foam cutting pad. If that does not work then use the 2000 compound with the poly/wool pad.
This is the process you follow, taking the least aggressive step until you find what works with the least amount of damage to the surface.
This is especially important for someone who has not too much experience with buffers.
Hope that helps
Very difficult for someone to tell you what pad and what compound to use without seeing the extent of the problem. Not all problems are the same.
Regards
Bud Abraham