BTW - If the original module is left to work on UNA site too then you need to make the unique URI for the pages in the records like:

INSERT INTO `sys_objects_page`(`object`, `title_system`, `title`, `module`, `layout_id`, `visible_for_levels`, `visible_for_levels_editable`, `uri`, `url`, `meta_description`, `meta_keywords`, `meta_robots`, `cache_lifetime`, `cache_editable`, `deletable`, `override_class_name`, `override_class_file`) VALUES('new_page', '_new_title_system', '_new_title', 'module', 5, 2147483647, 1, 'new-uri', 'page.php?i=new-uri', '', '', '', 0, 1, 0, 'NewPrefixPageBrowse', 'modules/vendor/module/classes/NewPrefixPageBrowse.php');