Yes, three times in fact.
UCLA
No, Illinois has never won the NCAA Men's Basketball Tournament.
No they have not.
NO
Twice
yes
oregon
Twice. In 1980 and 1986.
No. The Drexel Dragons men's basketball team made it to the second round of the NCAA tournament in 1996 but were defeated by Syracuse.
yes
yes in 1993 they lost horribly to Louisville
no but they do have the most maac tournament titles