Evil,
I just spent a bit of time trying to diagnose the issues on your site.
I tried logging into your site with a few Facebook accounts. I wasn't able to see the JFTP error, but was able to see the non-activated user issue. Some notes on things below:
1) If you go to Help->System Info->Directory Permissions, you'll see that the /images directory is not writable. This is likely the cause that images that we download aren't able to be written to the correct directory. Again, I'm not seeing that error right now, but I also wasn't seeing the image imported into my profile.
2) The activation thing is confusing us. I configured a test environment of our own exactly how your Community Builder and JFBConnect were configured, and didn't have the same issue. I also tried disabling your CB Captcha plugin (and a few others I thought may be problematic), with no luck. I then tried to install extPlorer which is a file manager. I wanted to try editing some of the JFBConnect files to see if we could debug/narrow down the issue. However, when trying to load it in the admin area, I get a few warnings but the editor doesn't load. This is also strange.
We'll keep investigating, but just wanted to let you know what little information we have so far. If you can fix the write permissions on the images directory, that may help us determine if images are being imported, which validates a little more functionality and helps us focus on the activation problem you're having.
Thanks!