Revealing mistake: When they show the soldiers killed by the Dalek, in both the hallway outside the cage and the large room in weapons testing, they show some casings which were ejected from the soldiers' guns. The casings still have projectiles in them. If used, they would have been in magazines and would never fall out like they are shown.
Continuity mistake: Before Martha uses Project Indigo, she doesn't have an ear piece. Then, after two quick shots of Daleks, when Martha says, "Bye, Jack," she does (and then takes it out). (00:17:56)
The Doctor: I'm not... I'm not... I'm not from Mars!
More trivia for Doctor Who
Question: 1. Why was Rose not allowed to touch her past self without creating a paradox and causing those creatures to appear and eat everyone, but Amy was allowed to touch her younger self without any repercussions? 2. Why was Rose able to have the time vortex in her head for a few minutes and it only knocked her unconscious whereas the Doctor had it inside him for about 30 seconds and it basically killed him and caused his regeneration?
Chosen answer: 1) When Stephen Moffat took over he ignored a lot of what had been developed before (there is not in-universe answer). 2) It would have killed Rose, so the Doctor absorbed the energy. His body regenerated before the energy could do a significant amount of damage that would prevent regeneration.