Denev,
We got into your site, and looked around. We're a little confused about what's going wrong right now, but know of a few small code changes you could do to make things work. However, they shouldn't be necessary, and you'd need to re-do them whenever you upgrade, which isn't ideal. Basically, if we disable SEF URLs, the links for JFBConnect work properly. Once we enable it though, they break.
Can you help me answer the following:
1) Do you know if you, or anyone else, has made modifications to Joomla's PHP code itself? If so, that could be part of the problem.
2) Do you know why SEF URLs aren't really working on your site anyways? It's possible the video component you're using doesn't generate SEF URLs, but in that case, you may just want to disable SEF URLs altogether which would fix the problem.
If none of the above helps, just let us know, and we can let you know the code change that should work. It will basically disable the creation of the SEF links for the JFBConnect URLs that are failing.
Please let us know,
Alex