Well Mirrored Amour reflects some of the light and heat of a weapon, which makes sense.
However, sitting next to a star would be the same as sitting inside a really hot oven, which is a different type of heat. Put a mirror in the oven, it's gunna get HOT, fire a laser at a mirror and expect the majority of energy to be reflected.
So - I don't think your going to gain any advantage.
Better rated modules help with heat, get a A rated power plant for cool running, also if you are carrying a shield, switch it off until you really need it (<500ly from a station)
No... what you are thinking off is transmitting heat via particles in contact or close proximity, which in space doesnt happen (same reason sound doesnt travel.). When you are very close to the star however (fuel scooping) there are some particles that you collect which transfer their heat on you, but that should still leave the majority of the heat to be caused by IR radiation, which can be reflected (if you shine strong IR rays on a mirror and say a wooden plank, the plank would heat up, but the mirror would stay cool). Thats my take on this anyway.
Just to play davils advocate, might also be that FD intended 100% of the heat to be caused by the fuel you scoop (it was flung into the corona through thermonuclear fusion after all), so who knows. I dont visit these forums often. whats the best way to get this answered by somebody official?