Problem with redirect and Login Module 2.0.3

I thought i got rid of most of those & 's before, but it's possible one's missed. The only I'm seeing I wouldn't think is affecting you from your description, but possibly I'm mis-reading it.

When you say it's on Facebook login, you're saying when you click the blue "Connect" button and login that way, correct? This isn't the auto-logging in..?

Either way, the one suggestion I have right now, is to look in the components/com_jfbconnect/helpers/facebookhelper.php file and add the ', false' statement on line 152 as below:
$mainframe->redirect(JRoute::_($return), false);

Again, I don't think this is your issue. If you could say whether it's only for new users or FB users logging back in, and the exact method, we'll try to help further.

This issue will be fixed in the upcoming 2.1 release (imminently due). For those of you who are affected by it now and need it fixed, you can edit your /components/com_jfbconnect/helpers/facebookhelper.php file, ~line 154, add the ', false' as below:
$mainframe->redirect(JRoute::_($return, false));