Ahh.. that page helped. I didn't use the login information you provided, so you know how I tested.
On that page, you're using 2 Like buttons (I think the ones in the right hand column) that are re-including the Facebook Javascript library (all.js) in a way that conflicts with JFBConnect's implementation and the Request feature in general. You'll need to remove the Javascript script tags with those Like buttons.. you can leave the fb:like tags though (or move to the {JFBCLike} tags, though not necessary).
Once the extra inclusions are removed, things should start working.
Thanks,
Alex