When Skeeter gets here he'll be able to answer your questions better than I can, but I believe the music in this video is from the Band Centennial CD released back in 1992.
Yes, these are from the Centennial CD published in 1992, "Songs of the University of Minnesota". I fast-forwarded a bit, but it sounds like the video contains:
Fanfare to Hail Minn
Go Gopher Victory - 1964 band/vocal arrangement with Glee Club
Minn March - full original Sousa version
Fanfare 62
Minn March - Dr. Ben arr.
extended transition into second half of long version of Our Minn
extended transition into second half of long version of Minn Fight
Pageant
Variations on the Rouser
Hail Minn - Vocal arr. Glee Club
Mighty Minn (by Karl King)
Battle Hymn
Our Minn
Cascade-Fanfare-Pageant-Rouser sequence
Minn Fight - 1964 band/vocal arr. with Glee Club
Rouser - 1964 band/vocal arr. with Glee Club
Then, it sounds like the sequence repeats.
The fight songs haven't changed much since the early 1960s. Prior to that the band used Red McLeod's arrangements. His arr. of GGV is still used.
The short versions of Minn Fight & Our Minn are McLeod's, Dr. Bencriscutto ("Dr. Ben") added the second half (repeated section) with more elaborate upper woodwind parts and played around with the melody a bit.
Our version of Battle Hymn is Dr. Ben's. Dr. Ben also wrote the 1964 band/vocal with Glee Club arrangements. Generally, any of the "fancy" sounding versions and variations of the various school songs were arranged by Dr. Ben