I'm not sure what's happening, but I don't think it's related to the SCLogin module. If you look, the Register button links to:
eclinics.ro/component/users/?view=registration
That's the proper Joomla Registration page.
However, when clicked, something is redirecting to:
eclinics.ro/index.php?option=com_cck&vie...t&type=user&Itemid=0
You'll have to investigate what's causing that redirect, and why the page being redirected to is restricted (if it shouldn't be). It looks like SCLogin is behaving how it should though.
I hope that helps get you started, but if you need anything else, just let us know.
Thanks,
Alex