Thanks for the credentials. I did the following:
* Disabled the "Ultimate Social Elements (JSDK) (by web-expert.gr)". It's re-including the Facebook Javascript library, which can conflict with JFBConnect.
* In the K2 - Parameters, I disabled the "Enable reCaptcha on registration form" setting.
The ReCaptcha was definitely the issue. For some reason, they're captcha was checking the registration data even though we didn't go through the K2 registration flow. I'd recommend enabling Joomla's built-in captcha, which only works during a real Joomla registration and not during a social network authentication.
Finally, during the investigation, I tried to change your template default. In the process, I think I switched your default template on accident. Please verify your settings there.
I hope that helps, but if you run into anything else, just let me know.
Thanks,
Alex