Cengiz,
Sorry for the delayed response. Also, we should have realized that you were posting in the 1.6 forums, not 1.5. The error you mention actually is common on very, very old versions of Joomla 1.5
As for testing, I just tried your site at
diablo3turk.com, and think you have a minor configuration problem with your application that should be fixed. Please update you Facebook application's settings as follows:
Site URL:
www.diablo3turk.com/
Base URL: diablo3turk.com
That will allow the application to work on both www and non-www version of your site.
As for logging in, when I tried, I was redirected to the following page, which gave me a 404 error:
www.diablo3turk.com/index.php?Itemid=1
Please check that your new user redirection is setup to a menu item that exists and is published.
Beyond that, when I try to re-login, everything works as expected. I do not see the JDate error you mention. I think if you take care of the above 2 issues, you'll fix some problems that you may not even be aware of though.
Hope that helps, and let us know if you still are running into problems!