The prime reason why timetravel usually puts people off is that no ****ing movie has ever got it right so far (except "12 Monkeys").
It's not widely known, but FTL automatically means timetravel capability (Check out Project Rho for details.)
The whole thing boils down to the fact that FTL contradicts either of these:
a) Relativistic physics (ergo if there is FTL, then Einstein's theory is wrong) - not likely AFAIK
b) Casuality (the cause precedes the effect) - could be...
OR:
c) There is a galactic censure that prevents paradoxons - actually there is evidence for this too...
There are two ways
a) You can't change the past...or the future. You play your part in the events, but once playout, things are set in stone. (censure case)
b) Time is not linear and there are more paralel timelines with different histories. (void casuality case). Thius pretty much means that the fate of the universe doesn't really matter to anyone who can do FTL (aahh screw it....let's start over.)
With a linear, unchangeable timeline you can have a meaningful story. (Without the overplayed, but improbable scenario of alternate histories casued by meddling with time) This setup also raises questions of fate, and choice - but not in the idiotic, "catchword" phrase pile of <cenzored> manner the Matrix raised it.
Can I change history? Apparantly I can't....or can I? I can't change events....but I can always insert new ones.