BBQ-related Question Number 3: If BBQing is a thing at your residence, do you and your S/O agree on how food should be grilled,

We agree. Everything is to be cooked well done.  Usually about 1/2 the food gets sauce and not the other.

She does the salads, I do the grill and neither intrudes on the other's territory. I do the eggs her way, it's hard to do sunny-side-up on a barbie. I usually prefer eggs to be just barely dead, she likes them solid right through.