Plot hole: In "Aliens of London" it is established on a 'missing person' poster that Rose Tyler is approximately 19 years of age in March 2005 (The poster says 'missing since 6 March 2005'). This means that she must have been born prior to March 1986. However, in 'Father's Day', which is dated 7 November 1987, Rose is still a baby in her mother's arms - but she should be a toddler aged approx two.
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.