1)It's funny that I never thought about this before, but it's true that Tegan seems to be much more concerned about getting back to do her job than about her murdered aunt. I suppose you could rationalize it as a sort of deep denial - her obsessing on the mundane detail to avoid dealing with the more tragic one.
2)The helmet fulfill the story's goofiness requirement all by themselves.
3)All of the regulars act like jerks in this - even Nyssa gets a little bit snippy, although in her case, it's more in self-defense.
4)It is extremely unlikely that Tegan could speak an Aboriginal dialect from 35,000 years ago. Also, according to Janet Fielding, the dialect the guy is speaking is from Northern Australia, and Tegan is supposed to be from Brisbane. Not impossible, but unlikely.
5)Lin Futu is, of course, Burt Kwouk.
6)And Tegan easily knocks Adric out.
7)Monarch is supposedly obsessed with going faster-than-light like it's some impossible dream of the ancients - but isn't the Doctor Who universe crawling with critters that go faster than light? Has he thought of buying an FTL ship off one of them?
8)I don't understand it, myself, but the general consensus seems to be that the physics of the stunt that the Doctor does with the cricket ball is somewhat suspect.
9)Monarhc is all eager to get into the TARDIS, but then he walks right by the open TARDIS door!
10)Some fun quotes:
The funny thing is, the story's not all that bad, if only the regulars weren't all so unlikable.
[Part of list of Doctor Who episodes here.]
Took five wickets=contributed as bowler to getting five batsmen out.
Regarding the cricket ball stunt, I haven't studied physics since high school, but I think the mere act of throwing the ball should have propelled the Doctor in the other direction, albeit slowly (because for every action there is an equal and opposite reaction, and the Doctor is a more massive object than a cricket ball). I can't see a reason why the ball couldn't rebound from the ship and add to his speed when he caught it, but it presumably wouldn't speed him up as much as it sets him moving in the episode. If the engines of the craft were operating while he was outside the ship was presumably accelerating or decelerating. In that case he should have become separated from it as soon as he was no longer firmly tethered to it. Possibly conditions in space would negatively affect the springiness of the ball, but I can't evaluate that point.
Throwing the ball might set him spinning as well as moving.
Thanks, Luke. ",,,the Doctor is a more massive object than a cricket ball" is my new choice for one of the coolest phrases ever written.
Burt Kwouk, who played Lin Futu in this story, has, sadly, passed away.
Mr Kwouk was also Cato in the Pink Panther series.