If UT wins, we're playing the 12vs13 game no matter what.
If UT loses and we lose, we'll be in a 3 way tie with them and Auburn, which goes to the record vs the group. We would be in the #13 spot because we would have lost to both and they're 1-1 against each other.
If UT loses and we win, we'll be the only 7-11 team, so we get the 11 seed.
As to our opponent, yes, it's the 6 seed if we're 11 (or 5 if we're 12/13), which is way complicated. If they win, Ole Miss can go 6 or 7.
If...
Georgia beats SC and Alabama
Arkansas beats SC
Ole Miss beats Tennessee
It'll come to a 4 way tie, so against the group, that shakes out to:
#5 Georgia (4-2)
#6 Ole Miss (2-2)
#7 Arkansas (1-2)
#8 South Carolina (1-3)
Georgia beats SC but loses to Bama
Arkansas beats SC
Ole Miss beats Tennessee
It goes to the tie breakers, but all of these teams will be 1-1 against the group.
So it goes to record vs #1 seed.
If that's:
Texas A&M- #5 SC (1-0), #6 Ark(1-1), #7 OM(0-1)
LSU-#5 Ark(1-1), #6 SC, #7 OM (SC and OM go to the head to head because both are 0-1 against the LSU)
Kentucky or Vanderbilt - it goes to record vs 2 seed, then 3 seed, etc., so that ends up being one of the above
SC beats Georgia and Arkansas
Ole Miss beats Tennessee
SC possibly goes into the #1-#5 Seed tiebreakers, which I won't walk through.
Ole Miss will be the only 10-8 team, so #6 seed
If Ole Miss loses, they could drop as low as 10, depending on the tiebreakers.