It looks like you have the trigger for the search specified as:
if ((isset($_POST["WADbSearch1"])) && ($_POST["WADbSearch1"] != "")) {
This is just looking for the posted WADBSearch1 variable. It looks like your form has this as a hidden form element in it. Looking further into the search criteria that is set on this page I can see that you are looking to do a keyword type of comparison with includes using the $_POST["advancedText"] value. I do not see this value in your search form that you posted. It looks like the only field in the form is named 's'.
I think that you could get the search page working for this form if you altered line 20 of the search page to be like this:
$WADbSearch1->keywordComparison($KeyArr1,"s","AND","Includes",",%20","%20","%22","%22",0);
This could potentially break other search forms on your site though if they rely on the other value to be submitted. The best thing to do would be to look at a search form you have that is currently working and ensure that the other search forms have the same inputs in them.