Probably want to ask which RPGs they've played before (if any), to provide context for their answers to B4 and B6.
I feel like B2, B10, B12 and B13 are all asking the same question.
B3) I might rephrase this as "is there a particular place, event, theme or aesthetic in battletech that really grabs you" and tack it onto question B1 (unless the point of question B1 is to gauge their tolerance for deviation from canonical events).
B13) without looking at the "ATOW Companion," I can tell the obvious difference between Black Ops and Exploration, but the rest of those titles don't really tell me anything.
How easy should it be for player characters to die? (Has the player had a character die before, have they played in high-death or low-death campaigns, are cryogenic preservation and magical hospitals a thing, etc) How easy should it be to lose a 'Mech (or other points-dense PC resource)?
Will the baseline for in-game society be Arthurian medieval, or war-is-hell-'Nam, or sci-fi planet-of-the-week, or goofy cartoony, or what?
What's the scope and power level of the campaign? What's the starting point, what's the end point (if any)?