Taxonomy Problem

function addTaxonomies() {
    $labels = array(
        'name'               => __("Product types", MBRSHP_NAME),
        'singular_name'      => __("Product type", MBRSHP_NAME),
        'add_new'            => __("Add New", MBRSHP_NAME),
        'add_new_item'       => __("Add New Product type", MBRSHP_NAME),
        'edit_item'          => __("Edit Product type", MBRSHP_NAME),
        'new_item'           => __("New Product type", MBRSHP_NAME),
        'all_items'          => __("All Product types", MBRSHP_NAME),
        'view_item'          => __("View Product type", MBRSHP_NAME),
        'search_items'       => __("Search Product types", MBRSHP_NAME),
        'not_found'          => __("No Product types found", MBRSHP_NAME),
        'not_found_in_trash' => __("No Product types found in Trash", MBRSHP_NAME),
        'menu_name'          => __("Product types", MBRSHP_NAME));

    $args = array(
        'labels'                   => $labels,
        'public'                   => true,
        'show_tagcloud'            => false,
        'hierarchical'             => false,
        'capabilities'             => array(
            'manage_terms'         => 'manage_types',
            'edit_terms'           => 'manage_types',
            'delete_terms'         => 'manage_types',
            'assign_terms'         => 'manage_types'));

    register_taxonomy("product_type", array("product"), $args);

    $labels = array(
        'name'               => __("Product categories", MBRSHP_NAME),
        'singular_name'      => __("Product category", MBRSHP_NAME),
        'add_new'            => __("Add New", MBRSHP_NAME),
        'add_new_item'       => __("Add New Product category", MBRSHP_NAME),
        'edit_item'          => __("Edit Product category", MBRSHP_NAME),
        'new_item'           => __("New Product category", MBRSHP_NAME),
        'all_items'          => __("All Product category", MBRSHP_NAME),
        'view_item'          => __("View Product category", MBRSHP_NAME),
        'search_items'       => __("Search Product categories", MBRSHP_NAME),
        'not_found'          => __("No Product categories found", MBRSHP_NAME),
        'not_found_in_trash' => __("No Product categories found in Trash", MBRSHP_NAME),
        'menu_name'          => __("Product categories", MBRSHP_NAME));

    $args = array(
        'labels'                   => $labels,
        'public'                   => true,
        'show_tagcloud'            => false,
        'hierarchical'             => true,
        'capabilities'             => array(
            'manage_terms'         => 'manage_categories',
            'edit_terms'           => 'manage_categories',
            'delete_terms'         => 'manage_categories',
            'assign_terms'         => 'manage_categories'));

    register_taxonomy("product_cat", array("product"), $args);

    $labels = array(
        'name'               => __("Product tags", MBRSHP_NAME),
        'singular_name'      => __("Product tag", MBRSHP_NAME),
        'add_new'            => __("Add New", MBRSHP_NAME),
        'add_new_item'       => __("Add New Product tag", MBRSHP_NAME),
        'edit_item'          => __("Edit Product tag", MBRSHP_NAME),
        'new_item'           => __("New Product tag", MBRSHP_NAME),
        'all_items'          => __("All Product tags", MBRSHP_NAME),
        'view_item'          => __("View Product tag", MBRSHP_NAME),
        'search_items'       => __("Search Product tag", MBRSHP_NAME),
        'not_found'          => __("No Product tags found", MBRSHP_NAME),
        'not_found_in_trash' => __("No Product tags found in Trash", MBRSHP_NAME),
        'menu_name'          => __("Product tags", MBRSHP_NAME));

    $args = array(
        'labels'                   => $labels,
        'public'                   => true,
        'show_tagcloud'            => false,
        'hierarchical'             => false,
        'capabilities'             => array(
            'manage_terms'         => 'manage_tags',
            'edit_terms'           => 'manage_tags',
            'delete_terms'         => 'manage_tags',
            'assign_terms'         => 'manage_tags'));

    register_taxonomy("product_tag", array("product"), $args);
}

function addPostTypes() {
    $labels = array(
        'name'               => __("Products", MBRSHP_NAME),
        'singular_name'      => __("Product", MBRSHP_NAME),
        'add_new'            => __("Add New", MBRSHP_NAME),
        'add_new_item'       => __("Add New Product", MBRSHP_NAME),
        'edit_item'          => __("Edit Product", MBRSHP_NAME),
        'new_item'           => __("New Product", MBRSHP_NAME),
        'all_items'          => __("All Products", MBRSHP_NAME),
        'view_item'          => __("View Product", MBRSHP_NAME),
        'search_items'       => __("Search Product", MBRSHP_NAME),
        'not_found'          => __("No Products found", MBRSHP_NAME),
        'not_found_in_trash' => __("No Products found in Trash", MBRSHP_NAME),
        'menu_name'          => __("Product", MBRSHP_NAME));

    $args = array(
        'labels'                   => $labels,
        'description'              => __("Sellable Products", MBRSHP_NAME),
        'public'                   => true,
        'show_ui'                  => true,
        'menu_position'            => 30, // Below comments
        'menu_icon'                => "/assets/img/cart.png",
        'capability_type'          => 'post',
        'supports'                 => array("title",
                                            "editor",
                                            "excerpt",
                                            "thumbnail",
                                            "comments",
                                            "custom-fields",
                                            "page-attributes"),
        'has_archive'              => true,
        'rewrite'                  => true);

    register_post_type("product", $args);
}