Well, I got it figured out. Thanks to everyone for trying to help. (Seriously, Frank, I have been drumming for longer than you've been alive. I already knew what a reso head was before you were born! LOL! But I did enjoy the video of your band. Good stuff! I really liked the way your snare sounds on the recording, especially when you were playing it harder. Nice and open.)
Anyway, the heads are new, just like the drums. But I tried another head, cranked it up, and it did the same thing! No rebound in the middle of the drum. (Kind of like a floor tom). I thought it was tight, but I tensioned it even more, and it came to life. So I put the first head back on and tightened it up higher than it was to begin with and it's fine now. Rebound galore!
There is a learning curve to tuning Trick drums. I think it has to do with the very narrow bearing edge. These drums have a very wide tuning range, and I just didn't go far enough with it in the first place. It sounds even better now, and I liked it before!
Thanks again everyone!
Jeff