It is not the best solution, but Comment out following code from line 189-194 in j-shortcodes.php. It works and load WordPress 3.5.1 default jquery, instead of hardcoded ancient 1.4.4 which creates conflicts.
$jquery_version = "1.4.4";
$jquery_ui_version = "1.8.9";
wp_deregister_script ('jquery'); // using wp_deregister_script() to disable the version that comes packaged with WordPress
wp_register_script ('jquery', "https://ajax.googleapis.com/ajax/libs/jquery/{$jquery_version}/jquery.min.js"); // using wp_register_script() to register updated libraries (this example uses the CDN from Google but you can use any other CDN or host the scripts yourself)
wp_enqueue_script ('jquery'); // using wp_enqueue_script() to load the updated libraries
Change to:
// $jquery_version = "1.4.4";
// $jquery_ui_version = "1.8.9";
// wp_deregister_script ('jquery'); // using wp_deregister_script() to disable the version that comes packaged with WordPress
// wp_register_script ('jquery', "https://ajax.googleapis.com/ajax/libs/jquery/{$jquery_version}/jquery.min.js"); // using wp_register_script() to register updated libraries (this example uses the CDN from Google but you can use any other CDN or host the scripts yourself)
// wp_enqueue_script ('jquery'); // using wp_enqueue_script() to load the updated libraries