I see you have fixed the $JURI::base() verses $JURI::root() issue but you've left a tiny error in the code and I got...
Notice: Undefined variable: path in
/home/mypath/public_html/training/plugins/system/jsecure.php on line 36


At line 36 you have,

$path .= $params->get(...etc etc etc

when it should be,

$path = $params->get(...etc etc etc

i.e. get rid of that '.' in '.='

I had also logged this on the joomlacode.org/gf/project/jsecureauth/tr...&tracker_id=7760

Which is the right place to log these faults ?