Hi Simon,
about your first post, if you need to add a title at the top menu contact me directly at
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and i can send you an updated build including this option.
About your second question, normally the mobile template is completely separated by the desktop one, thus you can have custom css, modules, etc without any if statement.
Menus are automatically rendered as accordion when assigned to one of the predefined mobile positions, such as responsivizer_mainmenu, responsivizer_menu_top, etc No specific class are required.
You can take advantage of the Modules Manager list, for example excluding the current menu module displayed in the wrong position and clicking on the 'Make mobile' button to assign a new instance to a different position for mobile menus.