'Twas brillig, and the slithy toves did gyre and gimble in the wabe

It's not so much "the tardis lives!" as "the tardis can do whatever the plot requires" (think Fawkes from HP).

As far as timing goes, *how* far back in time were the Dalek's flung? I think they just said umpteen squillion years, so the Dalek fleet could easily have been around then. It just seems like a bit of a plot hole to me.