WPML and WooCommerce – only the product image displays

I'm using WP3.8, a child theme based on Views Base, Types 1.5.3, WooCommerce 2.0.20, WooCommerce Multilingual 3.2BETA, WooCommerce Views 2.0, WPML Media 2.1.1, WPML Multilingual CMS 3.0.1, WPML String Translation 2.0.1, WPML Translation Management 1.9.1 and WP Views 1.5 . I'm working in three languages, English (my admin default), German (the content default), and French.
I'm experiencing a few different problems, but the biggest one is this: when viewing a product, whether from the View option for the product in the (admin) Products posts list page or the 'Produkt anzeigen' button on the individual product edit page, only the product image displays (filling the screen, What The File says it's 'image.php'). When viewing a category of products as a user, the list of products displays ok, but clicking on any individual product results in a 404.
I need some help – perhaps someone can take a look around as admin (after receiving credentials securely) and help me figure out what's gone wrong?