Somebody going the other way would flash his high beams at you.
And you could also tell the judge that you didn't see the red and blue lights when you get caught speeding.
I think that someone outside your craft would see you but at a point after you have passed, the light is reflected off an object, the head's rear reflector.
Any light reflected to either side would be seen. Most certainly the tail lights could be seen.
Maybe.
Or not Wasn't fast enough with the typing. Forgot about the Doppler shift thing.
Magic