Tennessee won the 1998 national championship after winning the 1999 Fiesta Bowl against Florida State in the first-ever BCS National Championship.
Yes. In the 1996 season, Florida State and Florida played in the Sugar Bowl for the National Championship. I'm not sure about any other intra-state meetings.
Yes 1999 over Virginia Tech
yes, they won the 2010 one
4 times: 1982, 1985, 1999, 2001.
The 1999 Florida State Seminoles. They defeated Virginia Tech in the national championship and never once losing the number 1 ranking from pre-season to the national championship.
If you mean a national championship, the University of Missouri has won one in baseball, one in indoor track and field, and four in wrestling.