Unfortunately, your request may require additional code customization and we don’t have any quick instruction for you. Code customization is out of theme support scope.
Actually, it is not that difficult.
Downloaded a widgets in menu plugin, downloaded a login widget plugin, added a menu area (copied the code for top-menu and changed menu name) next to the favorites, search and cart widget in templates-tags.php. CSS styling to fit in with your theme cart and search widget.
Voila, simple and quick instruction.