Yes, there is one central computer lab with about a dozen computers and another dozen or so spread out in the main classroom building. Requiring a laptop makes no sense to me. I can't imagine the entire class of 93 people sitting in the tiny elementary school desks in the Tupper lecture hall pounding notes on a keyboard during a lecture (if you've seen that pathetic looking lecture hall you know what I mean).
Keep in mind that the $2500 available for computer purchase will most likely be in unsubsidized loans, so use it wisely. I also used this money for purchase of PDA and memory card. It's very easy to get reimbursed from the financial aid office with a receipt. Just call the office and ask for details, things may have changed in the last couple years.
Fusionid-- Overall Davis has been very good. The preclinical curriculum needs a lot of work but they are very committed to making it better (already it is probably so much different that I wouldn't recognize it). Clinical rotations are mostly excellent. As for competitiveness for residencies, I don't think your school makes a lot of difference, it is more your performance on rotations and boards. However, Davis has an excellent reputation throughout the state and beyond academically.