Search triggered by menu selection, menu's holding selection after visiting another page

Working with this page http://teamconstructioninc.com/inspiration/detail.php?room=10&Search=Search&WADbSearch1=Submit

The client would like to have the search triggered automatically by any one of the menus being selected as opposed to selecting the menu and then pressing the search button. How would I go about doing this?

Secondly, on another search/results page http://teamconstructioninc.com/homes/semi-custom/ ... It does great holding the menu selections as the user searches. However, if the user navigates away to another page and then returns, the search results still hold the criteria, but the menus no longer reflect the selections and appear as if the user is looking at all results. We want it to hold the search as it does, but we want the menu's to reflect that properly even if the user navigates away.