I got the "new" ECM I bought from Ebay. It had no ROM, so I used the one out of the old ECM. The car runs exactly the same.
I found a broken (chewed) wire coming from the firewall connector to the ECM, and soldered it back together. No change in performance, but all the gauges seem to be working now. I honestly can't remember which gauge didn't work before, but they all work now.
You may recall that I had replaced the throttle position sensor, but it still seems like it isn't working. I'm trying to find a diagram of the ECM, so I can check the continuity of the wiring between the TPS and the ECM.
Edit: I found a diagram online. It shows the TPS going to pins F1, E5, and E6 of the ECM. I just have to figure out where those pins are.