I liked it over all, though I think the concept of time falling apart would've been nice to have going on over a few episodes, as it's such a big deal and such a fun thing to play around with.
The method of keeping the Doc alive was reasonable. It was obviously one of the main theories going around, but there are only so many ways of having your main character die on screen in the first episode but still be alive at the end. They must've written themselves into a corner with the question, though? I suppose it depends on how you interpret the question, though. It's not really just "what is his name"? It's something more abstract... presumably.
Amy in black trouser suit = drool.
Eyepatch lady's death = a bit of an anticlimax.