If they say T1 access, most likely they mean you'll be on an internal network that has (at least) one T1 line going out. One T1 isn't that much for an entire university... maybe for one building. You'll need some kind of ethernet jack, whether on the system board or on a PCI card. You'll also want a CAT5 (or CAT5e, or CAT6...) cable.
You have access to T1 line... why do you want a modem? But yeah, a generic modem would be fine. I wasn't aware there was any other kind
9-in-one could mean a lot of things. It basically means it reads 9 out of the bajillion formats of memory cards out there. So that means, SD cards, flash cards, flash sticks, etc. I've seen some that include a floppy drive as well.