The answer is neither.
It would turn to energy
No. First of all you could not. But if you could, then time would stand still, not backwards.
The only way to travel at the speed of light is to not have any mass.
Objectively, about 26,000 years - but IF (and you cannot!) you could travel at the speed of light, it would seem like no time at all had passed.
It would take approximately 65 years to travel at the speed of light from Earth to Aldebaran, which is about 65 light-years away. However, currently, we do not have the technology to travel at the speed of light.
Light cannot travel faster than the speed of light, so a bulb traveling at the speed of light is not possible in the laws of physics as we know them. If it were somehow possible, the bulb may emit light, but we cannot definitively predict what would happen under such extreme conditions.
No. Just to travel AT the speed of light would require more energy than the entire universe contains. So all objects move at some fraction of light speed, never 1 nor greater.
you would never get old, but you wouldn't be able to see yourself
In the furthest reaches of the Solar System is the Oort Cloud; a theorized cloud of icy objects that could orbit the Sun to a distance of 100,000 astronomical units, or 1.87 light-years away. Therefor at the speed of light it would take about 3.74 years to travel the diameter of the Solar System. However no object with mass can travel at the speed of light.
That would depend on your speed relative to the mirror. If you were holding it in front of you, yes. If it was stationary and you were passing it, no.
Vega is relatively close at 25 light years. At one tenth of the speed of light, it would still take 250 years to reach it from our solar system.