Correct.The laser beam. It starts off travelling at our local speed of light, the neutron starts off slower.
Correct.No. That neutron can't go faster than the speed of light in vacuo, whatever it might be.
The no is correct, although the subsequent reasoning is cloudy but not too far off track overall.No. We always measure c to be the same because of the wave nature of matter. We use the motion of light to define our second and our metre, then use them to measure the motion of light. It's a tautology, see http://arxiv.org/abs/0705.4507. The thing to remember is that there's no literal time flowing in an optical clock. When the clock goes slower it's because light goes slower. You go slower too, because light and matter "are made of the same essence", so you don't notice that the light is going slower.
Well you have me beat Farsight. I was expecting at least one and probably all three answers to be wrong. Based on your para 3) comments in #2 - which on my reading is a contradiction to what's directly implied by your above answers.

