In point of fact, it does. If you are accelerating away from the light source, the light will shift to the red, if you are approaching the source it will shift to the blue. But the velocity never changes.
Ok actually that makes more sense because otherwise light would not have accelerated when you move which doesn't agree with the idea, thanks for the info.
As for number 3, that is what I meant, not sure what the difference is.
Number 4 actually doesn't matter in hindsight, just though it might have something to do with the changing of color.
For 5, I think I might have a possible explanation for this but not sure without knowing how they measure the speed of light.
6 I explained in my first second comment, and the last one may be true, but this is focusing on the fact that the light source is accelerating in any given distance. Thanks for the insight!
Could you explain this in a little more detail please?