I really like what Ste Moffat is doing with this series. It's gone very retro yet seems remarkably fresh.
The Churchill phone call reminds me of a similar thing that hapend to Doc #4 at the end of Revenge of the Cybermen. Although on that occasion it was a distress call from the Brig.
The brighly coloured Daleks remind me of the Dr Who films with Peter Cushing. It's all got a good feel to it.
As for when the Doc has met Churchil, well god knows. What I find curious is that character with the white coat, round glasses, and war helmet on. He clearly claims to have created the 'ironsides' so therefore must be in league with the Daleks. Are we to see brainwashed Humans (by the Daleks) like we saw in Syl McCoys Dalek story? Mmm I'm looking forwards to it