It is SEC record that determines whether you get in, and it is the 8 best records, doesn't matter what division.
They still have a legitimate shot at both the SEC and NCAA Tournaments, but they have a tough road to get there. Ole Miss and South Carolina at home then Florida on the road is going to make it very difficult to make up ground. I don't think they can afford to lose any of those series, and it would definitely help to sweep someone, but I just don't see that happening.