When I go to your page, I see the Send button and the Fan box module in the right sidebar. I haven't even tried logging in and I see that. Can you try clearing your browser cache and/or trying a different browser altogether as it may be a cookie issue from before you installed JFBConnect.
For the duplicate Javascript libraries, there is another inclusion. If you open the HTML of the page and search for "all.js", you'll see it. My guess is that it's from your template. However, the extra inclusion isn't really one that should conflict. It's good to get rid of as it will cause a slight delay on page load to load the library twice, but it's not the cause of this.
Finally, one thing I do notice is that when I click the "Send" button, the popup is hidden under your home page rotating banner. If you make the following change in your template file, it should fix that. To do so, edit /templates/yoo_nano/styles/page/css/layout.css At line 70, change:
#sidebar-a, #sidebar-b {
position: relative;
z-index: 0;
}to the below Updating the z-index to 4:
#sidebar-a, #sidebar-b {
position: relative;
z-index: 4;
}Hope that helps,
Alex