All checkboxes are checked for administrator. And there isn’t any option regarding menu editing.
I also looked into the source code of the plugin and there doesn’t seem to be any limitation for adding the post types to the menu.
$event_post_type = array(
...
'show_in_menu' => true,
'show_in_nav_menus'=>true,
...
);
register_post_type(EM_POST_TYPE_EVENT, $event_post_type);
As far as I understand every user, which has enough rights to edit the menus should be able to add Event-related pages too.
What else could be the problem?