New this month Plot hole: The extrapolated shield covers the TARDIS and about 3 metres in front of it (it isn't even centred on the TARDIS), thus stopping Dalek lasers. The Doctor and co immediately walk out of this range and out of the cover it provides and spend the next few minutes talking outside this shield. Crazy and trigger-happy Daleks don't resume shooting or attempt to shoot at any point they are outside this shield, even the emperor doesn't take a shot. Side note: This shield can be walked though! Why didn't the Daleks move a metre forwards and resume firing. Dalek are known for their hyper-intelligence and a need to exterminate anything different, these Dalek seem more interested in being a bullies or parrots.
Continuity mistake: Near the beginning of the episode, the Doctor and Jack destroy a Dalek who is inside the Tardis and you later see it when the Doctor, Rose and Jack come back into the Tardis after talking with the Emperor Dalek. Yet later when the Doctor is sending Rose home, there is no destroyed Dalek.