If the film was refrigerated or frozen, then you shouldn't have problems with fogging. Not from 2001, that's not too bad.
But I personally don't like T-MAX. I tried it one time, and developed it with D-76. To me, it seemed to be very unforgiving with exposure. Everything was either lost in shadows or bleached white. It had too much contrast, and just gave kind of a harsh, cold tone to everything. It's hard to describe. I shot a roll of Plus-X the same day in the same lighting conditions and it turned out okay. But T-Max was very picky about exposure. I just didn't like the look of it at all. I did try it once with doing long exposures indoors, and it was okay. But for outdoor photos, I hated it. I usually like Kodak films, especially Plus-X, and the new Ektar 100 when I take color photos. But I just hated T-Max.
- Chris