What sequence of events would occur and why did it start if the Big Rip or Big Crunch started happening in our solar system or within our galaxy cluster and what could you do to stop it?

With continual observations:

Big Crunch: Galaxies would continue to appear blue shifted.
Big Rip: Galaxies would continue to appear be red shifted.

To Do: Well nothing, absolutely nothing, - nothing to loose any sleep over. Even if the "big crunch" was detected to occur, it wouldn't happen for at least 14 billion years.