@NormanDunbar If you're exactly at the speed of light (which would mean that you would have to be massless, to achieve that speed) then you wouldn't have time to see if the headlights are on.
Wherever you were going to end up, from your frame of reference you're already there - no time elapses for you.
@AbramKedge @NormanDunbar Yeah, that's what I'd have thought. And an observer would see the headlights illuminated, but not lighting up the space ahead?
Then for the rear lights, an observer would see them not even illuminated, because the whole thing – ship and light – is speeding away from them?
@NormanDunbar Then the spaceship coming towards you will be dazzled and may crash into you.
And if you have a crash at the speed of light, then that would be bad.