The surface on firedoors usually has quite a distinct grain. Sanding through the veneer to make them smooth is a possibility, they are designed to be painted after all. Normally a bit of sanding with some build up of primer and paint gives them a smooth appearance. I would try cleaning up the darker marks with ct1 multisolve or everbuild wipes (not just any wipes though, they are the only ones I use based on experience). Maybe a bit of light sanding with the grain.
The other door. Don't risk heat because the risk of cracking the glass is too high and it would be very difficult to replace. Tape the glass before you sand (150 ish grit) then use a decent primer like zinsser 123+, should be able to put anything else on top of that.
The surface on firedoors usually has quite a distinct grain. Sanding through the veneer to make them smooth is a possibility, they are designed to be painted after all. Normally a bit of sanding with some build up of primer and paint gives them a smooth appearance. I would try cleaning up the darker marks with ct1 multisolve or everbuild wipes (not just any wipes though, they are the only ones I use based on experience). Maybe a bit of light sanding with the grain.
The other door. Don't risk heat because the risk of cracking the glass is too high and it would be very difficult to replace. Tape the glass before you sand (150 ish grit) then use a decent primer like zinsser 123+, should be able to put anything else on top of that.