Testing new site (not secure yet); using Search/Contact switches to secure url
Three things to try, in this order:


Administer menu » System Settings » Resource URLs.  Ensure "Force Secure URLs" is set to "No".
Clear cache and templates_c.
Rebuild the menu: 
 http://&lt;wordpress_site&gt;/wp-admin/admin.php?page=CiviCRM&amp;q=civicrm/menu/rebuild&amp;reset=1