I can not make a formcontact working - contacts

Question

I am a beginner , i try to make my website and i encountered a problem with my contacting form. What i want to know if i make something wrong with what i doing or is a problem from my host.
I have this form:
<div id="frmdiv_cform">
<script src="../code.jquery.com/jquery-1.10.1.min.js" tppabs="http://code.jquery.com/jquery-1.10.1.min.js"></script>
<script>
$("#contactForm").submit(function(event)
{
/* stop form from submitting normally */
event.preventDefault();
/* get some values from elements on the page: */
var $form = $( this ),
$submit = $form.find( 'button[type="submit"]' ),
name_value = $form.find( 'input[name="name"]' ).val(),
email_value = $form.find( 'input[name="email"]' ).val(),
message_value = $form.find( 'textarea[name="message"]' ).val(),
car1_value = $form.find( 'input[name="car1"]' ).val(),
car2_value = $form.find( 'input[name="car2"]' ).val(),
whereused_value = $form.find( 'input[name="whereused"]' ).val(),
phone_value = $form.find( 'input[name="phone"]' ).val(),
whenrequired_value = $form.find( 'input[name="whenrequired"]' ).val(),
url = $form.attr('action');
/* Send the data using post */
var posting = $.post( url, {
name: name_value,
email: email_value,
message: message_value,
car1: car1_value,
car2: car2_value,
whereused: whereused_value,
phone: phone_value,
whenrequired: whenrequired_value
});
posting.done(function( data )
{
/* Put the results in a div */
$( "#contactResponse" ).html(data);
/* Change the button text. */
$submit.text('Sent, Thank you');
/* Disable the button. */
$submit.attr("disabled", true);
});
});
</script>
<form id="contactForm" method="POST" action="contact.php" >
<fieldset id="frmWrap_cform">
<div class="control-group">
<label class="control-label" for="car1">Vehicle</label>
<input id="car1" class="formcontrol formcontrol95" type="text" maxlength="250" placeholder="Required" required="" value=''>
</div>
<input id="car2" class="formcontrol formcontrol95" type="text" maxlength="250" placeholder="(optional)">
<div class="control-group">
<label class="control-label" for="whereused">Garage</label>
<input id="whereused" class="formcontrol formcontrol95" type="text" maxlength="50" placeholder="Required" required="">
</div>
<div class="control-group">
<label class="control-label" for="custname">Your name</label>
<input id="name" class="formcontrol formcontrol95" type="text" maxlength="50" placeholder="Required" required="">
</div>
<div class="control-group">
"custphone">Your phone number</label>
<input id="phone" class="formcontrol formcontrol95" type="text" maxlength="50" placeholder="Required" required="">
</div>
<div class="control-group">
<label class="control-label" for="custemail">Your email</label>
<input id="email" class="formcontrol formcontrol95" type="text" maxlength="250" placeholder="Required" required="">
</div>
<label>When is required?</label>
<input id="whenrequired" class="formcontrol formcontrol95" type="text" maxlength="250">
<label>Comments / exact requirements:</label>
<textarea id='message' rows='3' class='formcontrol formcontrol95' placeholder='e.g. specific options/engine/transmission you require, delivery required etc'></textarea>
<label class="checkbox"><input type="checkbox" id="addtomailing"> Please tick here</label>
<hr style="margin:2px 0 7px 0;">
<button id="comments_cform" data-item-id="-999" type="submit" class="btn btn-primary btn-submit-version-form">Send enquiry</button>
</fieldset>
</form>
I look on the internet and i try many solution.
What should i have it contact.php?
All the things that i try its nit working.
Only this code send me a blank email .
<?php
$car1 = $_POST['car1'];
$car2 = $_POST['car2'];
$companyname = $_POST['companyname'];
$name = $_POST['name'];
$phone = $_POST['name'];
$email = $_POST['name'];
$country = $_POST['name'];
$zipcode = $_POST['name'];
$street = $_POST['name'];
$message = $_POST['name'];
$to = "XXX#XXX.com";
$subject = "Mailer";
$message = "";
$headers = "From: $email";
if( mail($to,$subject,$message,$headers) )
{
echo "<h2>Thank you for your comment</h2>";
}
else
{
echo "<h2>Sorry, there has been an error</h2>";
}
?>
Thank you in advance