Contact Form with Email PHP not working?

Question

Hello !
Here is a link to my contact form:
http://bayareafacepainters.com/quote_face_painting.html
Here is the tutorial I am following to set up the Form to Email PHP
http://www.freecontactform.com/email_form.php
My form is not working. It is not sending me the email, and the "Thank you for contacting us page" is not showing up either. Is this a simple fix? I am not an expert coder, any help on what I am doing wrong or missing would be helpfull!

Answer 1

Thank you for the suggestions... I cleaned up the names, and so I guess I am supposed to match the names in the form  to the PHP, so I changed the PHP to reflect the names of the fields in the form... it seems there may be more areas where I need to do this... What else does this need to work properly?
http://www.bayareafacepainters.com/quote_face_painting.html
<?php
if(isset($_POST['email'])) {
    // EDIT THE 2 LINES BELOW AS REQUIRED
    $email_to = "[email protected]";
    $email_subject = "Face Painting Quote";
    function died($error) {
        // your error code can go here
        echo "We are very sorry, but there were error(s) found with the form you submitted. ";
        echo "These errors appear below.<br /><br />";
        echo $error."<br /><br />";
        echo "Please go back and fix these errors.<br /><br />";
        die();
    // validation expected data exists
    if(!isset($_POST['Name']) ||
        !isset($_POST['Email']) ||
        !isset($_POST['Phone']) ||
        !isset($_POST['Contact_Preference']) ||
        !isset($_POST['Contact_Preference']) ||
        !isset($_POST['Date']) ||
        !isset($_POST['Time']) ||
        !isset($_POST['Location']) ||
        !isset($_POST['Guests']) ||
        !isset($_POST['Age']) ||
        !isset($_POST['comments'])) {
        died('We are sorry, but there appears to be a problem with the form you submitted.');     
    $Name = $_POST['Name']; // required
    $Email = $_POST['Email']; // required
    $Phone = $_POST['Phone']; // required
    $telephone = $_POST['telephone']; // not required
    $comments = $_POST['comments']; // required
    $error_message = "";
    $email_exp = '/^[A-Za-z0-9._%-]+@[A-Za-z0-9.-]+\.[A-Za-z]{2,4}$/';
  if(!preg_match($email_exp,$email_from)) {
    $error_message .= 'The Email Address you entered does not appear to be valid.<br />';
    $string_exp = "/^[A-Za-z .'-]+$/";
  if(!preg_match($string_exp,$first_name)) {
    $error_message .= 'The First Name you entered does not appear to be valid.<br />';
  if(!preg_match($string_exp,$last_name)) {
    $error_message .= 'The Last Name you entered does not appear to be valid.<br />';
  if(strlen($comments) < 2) {
    $error_message .= 'The Comments you entered do not appear to be valid.<br />';
  if(strlen($error_message) > 0) {
    died($error_message);
    $email_message = "Form details below.\n\n";
    function clean_string($string) {
      $bad = array("content-type","bcc:","to:","cc:","href");
      return str_replace($bad,"",$string);
    $email_message .= "First Name: ".clean_string($first_name)."\n";
    $email_message .= "Last Name: ".clean_string($last_name)."\n";
    $email_message .= "Email: ".clean_string($email_from)."\n";
    $email_message .= "Telephone: ".clean_string($telephone)."\n";
    $email_message .= "Comments: ".clean_string($comments)."\n";
// create email headers
$headers = 'From: '.$email_from."\r\n".
'Reply-To: '.$email_from."\r\n" .
'X-Mailer: PHP/' . phpversion();
@mail($email_to, $email_subject, $email_message, $headers);
?>
<!-- include your own success html here -->
Thank you for contacting us. We will be in touch with you very soon.
<?php
?>