Data submit with ajax get result but not contact form

[tibewww]

Hi everybody !

I'm struggling since few days with that,

I have a online quiz by jQuery, I want once the user submit it, to send the results with the contact information's of the users to the moderator.

I make it work, sending the results information correctly, the problem is it doesn't send the user information.

I've been playing around with different solution's, I can manage or to have the user information or the results of the quiz, but not both at the same time !

If anybody can highlight me, I will really be so thankful !!!

Here is the "contact form":

<div class="questionContainer radius hide">
<form action="submit.php" method="POST" id="form">
        
    <label>Name</label>
    <input name="name" placeholder="Type Here">
            
    <label>Email</label>
    <input name="email" type="email" placeholder="Type Here">
            
    <label>Message</label>
    <textarea name="message" placeholder="Type Here"></textarea>
            
    <input id="button" type="submit" value="Send" class="btnShowResult">
        
</form>  
        
    </div>
       
    
   
<div class="txtStatusBar">Status Bar</div>
<div id="progressKeeper" class="radius">
    <div id="progress"></div>
</div>
<div id="resultKeeper" class="radius hide"></div>
</div>

Here is the jQuery part about the ajax to send the data result of the quiz, the div #resultKeeper being the result I want to receive

$(function() {
$('#form').on('submit',function(e) { e.preventDefault();
$.ajax({
url:'submit.php',
type:'POST',
data:{'results':$('#resultKeeper').html(),'subject':'Subject of your e-mail'},
success:function() {
$('#responseMessage').html()
}
});
return false;

});
}); 

here is my PHP

<?php $name = $_POST['name'];
$email = $_POST['email'];
$message = $_POST['message'];
$results = $_POST['results'];
$formcontent="From: $name \n Message: $message \n Results: \n $results";
$recipient = "thibault.rolando@gmail.com";
$subject = "my subject";
$mailheader = "From: $email \r\n";
mail($recipient, $subject, $formcontent, $mailheader) or die("Error!");
echo "Your email has been send, thank you";
?>

If in the Jquery I change the

$(function() {
$('#form').on('submit',function(e)

by #button instead of #form, I receive the informations from the contact form, but not anymore from the results.

Also by keepin the #form, I receive the result of the quiz, and few value as the form content, but not the informations from the placeholder !, here is what I receive by email:

" From: Message: Results: Question 1 is true Question 2 is false Question 3 is true Question 4 is false Question 5 is false
Your total score is 2 / 5
CONGRATULATION, YOUR LEVEL IS A1.1

As we can see I have the From: and Message: appearing, but not the proper name and message that the user are writting .. .

Anyhelp will be adorable !!

Here is the allcode of JSFiddle:

http://jsfiddle.net/ccwJJ/

Thank you in advance !!