Rose
I don't want to be too harsh on the first episode as a doctor's debut is typically not the best you can expect from the actor. I thought Christopher Ecclestone was very good though the fairly obvious and deliberate leaps from Tom Baker-like gurning to Pertwee gravitas will hopefully give way to a more relaxed and personal portrayal over time. Billie Piper lived up to her reputation as a fine actor - I was very impressed with her naturalistic performance and likeable portrayal of Rose.
Overall it was a very good piece of television though it seemed very much aimed at an extremely young audience - perhaps too much as I can imagine 10 year-olds still finding it a bit patronising. It did look a bit too bright and comical throughout and any parts that might have been exciting or make the hairs on the back of you neck stand up were ruined the bouncey up-beat incidental music. The dialogue was pretty witty throughout but really let down by clangers like, 'so all the stories I've heard are true' from Clive before he was shot.
There were some lovely touches like the Doctor's desperate apology to the nestene consciousness for not being able to save their planet in a previous war which we know nothing about, and the fear inspired in the Autons by the 'superior technology' of the TARDIS (wonderfully at odds with the ship's exterior).
However the Autons were terribly under-used - almost written off as not worth being a baddie and more of a joke. It's true that the idea of plastic coming alive and attacking people is very much rooted in the 1970s and the burgeoning environmental movements of that time when Pertwee battled them - but I feel that some fantastic oppourtunities to send shivers down our spines were missed here. In this introductory episode it seems as though the Autons were reduced to a vehicle for the audience to meet Rose and the Doctor - fair enough, but I do find myself feeling a bit bereft of chills.
Perhaps the series creators are aiming to welcome a predominantly young audience at first and when they decide they like the series, to deliver some more thoughtful and darker stories. This is what I remember form watching Doctor who as a child - it made me feel grown up and introduced me to quite advanced political, ethical and scientific ideas at the same time as being wonderfully exciting. As people to whom this series matters a more than any other television (ever) we're going to have to get used to a new stylistic take on the show and a new (almost too pacey) format (where's the story gone?). But in the spirit of optimism, I think we're just being asked to sit back and enjoy the relationship between Rose and the Doctor, and the fun of seeing new places and races over the next 12 weeks and to suppress our nit-picking. That doesn't sound too bad - plus the TARDIS looks very cool.
ps- How could RTD miss the 's' of 'dimensions' in TARDIS?! How could he!?!