It's not only whether *you* can work impartially, it's whether others might have a reason to question it.
So, items C-F in the original list are likely to create a conflict. In B, it depends on how long ago you graduated. In A, it depends on the definition of "friend."
In all of them, it depends on the level of the game.
One you didn't ask:
Suppose you were a female D-1 official on the west coast, and your "partner" was a female assistant at a D-1 school. Would it be a conflict to officiate that team's games? (Purely hypothetical, I'm sure)
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