IAD-SEA-IAD is 4612 BIS, IAD-SFO-IAD is 4838 BIS, together that's 9450 BIS. 550 short of 10K BIS needed, sorry.
Butt-in-seat mile is how they count lifetime miles, and only on UA metal. It's not adjusted by class of service bonus, nor elite status bonus. It is however subject to 500-mile minimum.