These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
He could also be easily described by his fans as "Cute, sexy and lick-the-mirror handsome".
Richard E. Grant would later go on to play the reimagined Great Intelligence in Series 7, who functions as an Evil Counterpart to The Doctor.
The Doctor is able to regenerate past his thirteenth life thanks to begging from his companion, just like what happened later in canon (and penned by Moffat, as well).
Retroactive Recognition: The Tenth Doctor (Richard E. Grant) goes on to be the Doctor again for Scream of the Shalka (albeit as the Ninth), and was also in The Name of the Doctor, where his character threw himself into the Doctor's time line.
Fridge Brilliance: Although nobody ever actually follows up when they say "I'll explain later", circumstances usually lead to the answer. For instance, Emma asks the Doctor asks why the Daleks didn't kill them, why there's a chair prepared, and how Zektronic energy will allow them to take over the universe in a matter of minutes.
The answer for the first one and the second are that the Daleks needed the Doctor there to help in case something went wrong, which it did. Their justification of keeping him alive and compliant is quite sound.
Zektronic energy allows the Daleks to kill the Doctor and the Master in such a way that they can't regenerate or resurrect. Since the Doctor is their biggest obstacle, they have a lot of investment in this ability, which would allow them to steamroll Gallifrey and change the timeline so that they're unopposed.