re: Who do we need to be pulling for or against in the three games prior to ours?

Here are some games that could help LSU:

UGA over Texas A&M - LSU or A&M will host. I believe if they both win, then both will host, but if LSU loses and A&M beats UGA, they are clearly ahead of LSU and the committee has shown reluctance in awarding more than 5 host sites to one conference unless they are simply that dominant.

Auburn over Vandy - LSU did not play Vandy, so an AU win does more for LSU's SOS and RPI. It also hangs an L on the best team in the tourney.

UCSB, NC State and Miami are the teams other than A&M that LSU could bump for that host site, but they aren't playing tomorrow. Stanford is an outside possibility as well, but I think they get one regardless of what happens this week.

The rest are mostly RPI boost games tomorrow, either due to LSU having played them or teams that are currently ahead of them in RPI:

Virginia over UNC
Kansas over West VA
La Tech over Marshall
SLU over SFA
NLU over Central Arkansas
McNeese over Incarnate Word
ULL over Georgia Southern
ULM over Texas St