(2) Will be the very difficult, probably impossible, part of this project. It is possible, if you're a real rockstar, to build a cyclotron in your garage. But cyclotrons don't work at relativistic speeds; accelerators that go that fast are far too complex to build out of household parts.
The scientists who originally measured this did not have their own accelerators. They used cosmic ray muons, already traveling relativistically, and compared their number on the top of a mountain to that seen at sea level, the difference being attributed to muon decay from one elevation to the other. A little math then gives you an observed lifetime of the muon, which can be compared to the at-rest lab value.
That experiment you CAN do, because you CAN build a bubble chamber in your garage, and if you have some mountains to travel to the top of, you can do the same experiment they did.
I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.