Wow, this is awesome. The entire analysis was done beautifully. Can't wait to read your next one :)

There were some really really small errors, though.
In episode six, he stalks Integral from the shadows, ...
That was episode five.
when she kills Jan Valentine in episode six
She doesn't kill him, he lights himself on fire. In the manga, he kinda explains why he lights himself on fire. He explains that "they" won't let him live after "screwing" up the mission and giving them valuable information.

But even with the small errors, it was superb and I really enjoyed reading it.