on your script, when you press 'submit' again after verifying the information, you are not passing the variables on to apmhix_whateva.php..
in 'processed.php' you need some hidden input fields like mentioned above..
like..
<input type="hidden" name="name" value="$_POST[name]">
ect.. for ALL your variables..
now the variables are being passed to the next script for email submission. Dont forget to add
$name = $_POST[name];
ect....
and validating your user submitted info isn't a bad idea either.. I've found a few good free php validating classes over on phpclasses.org