I've been meaning to answer this for ages - sorry it's taken me so long - I had to dig out my notes.
SURVIVAL AT THE ACADEMY OF LAW:
With failed survival rolls - cos we did thorough rationalising write-ups of the Academy career phase in order to break off and role-play the Hotdog Run AND because the players rolled the characters up in pairs - we allowed the other player to make a roll to save the career of a cadet who got in trouble (and get themselves a bonus for the effort).
For example in Term 2 Cadet Campbell failed his Survival Roll, then rolled Mishap 4.3, and then failed his Influence roll. Cadet O'Dowd had just Gained Advocacy 1, and elected to try to use it to save Campbell from expulsion. He succeeded and Campbell got to stay (but lost 1 Influence) and O'Dowd got an additional point of Advocacy.
This gave a nice sense of entwined history to the characters, rationalised as: Cadet Campbell's second term started poorly when, in a simulated siege, he shot Cadet Eustace Wendt in the face as Wendt rounded a corner into Campbell's line of fire. His trigger finger had been quicker than his brain. O'Dowd, partnering Wendt during the sim, came to Campbell's defence, arguing that Wendt had ignored the parameters of the exercise and progressed into the 'Hot' zone. O'Dowd's intervention prevented Campbell's expulsion. Nevertheless, Campbell became distrusted by most other cadets in their year.
EVENTS AND UNTRAINED SKILLS:
We planned to use the first method on p.12, for ease, but I don't think it came up.
Hope that helps!
Ned