Is this a parody or something? (No not the performance of the subject but the typing of it).
I would place Rimmer as ESTJ without a second thought. Competitive over silly things, the whole timetable, failing so many times and yet seems to have blind faith that eventually he will prove himself as the best.
I would have expected an INTJ to respond very differently and certainly not resort to sorting out rotas and pecking order in the first five minutes of a judgement day style crisis.
As for the other types, is every vicious person you know an ESTP or something? There seems to be just a slight bias there... just a little one....
Btw, Queen Liz an ENFP? Those are tea leaves in that cup aren't they?