Why won't my contact form email me after submission? - php

Question

I am very new to PHP, so please bear with me here.
It seems like the form goes through, I don't get any errors, but I never receive an email.
Thank you in advance!!
Here is my html
<form class="form-horizontal" role="form" method="POST" id="contact-form" action="contact-form/form.php" style="padding-bottom: 5em;">
<div class="form-group">
<label class="sr-only" for="name">Name</label>
<div class="col-md-12">
<input type="text" class="form-control" name="name" id="name" placeholder="Enter Name">
</div>
</div>
<br>
<div class="form-group">
<label class="sr-only" for="email">Email</label>
<div class="col-md-12">
<input type="email" class="form-control" name="email" id="email" placeholder="Enter Email">
</div>
</div>
<br>
<div class="form-group">
<label class="sr-only" for="message">Message</label>
<div class="col-md-12">
<textarea class="form-control" name="message" rows="10"></textarea>
</div>
</div>
<br>
<div class="form-actions">
<input type="hidden" name="save" value="contact">
<button type="submit" class="btn btn-default">Submit</button>
</div>
</form>
Here is my php
<?php
// check for form submission - if it doesn't exist then send back to contact form
if (!isset($_POST["save"]) || $_POST["save"] != "contact") {
header("Location: ../index.php"); exit;
}
// get the posted data
$name = $_POST["name"];
$email_address = $_POST["email"];
$message = $_POST["message"];
$headers = 'From: '.$email_address."\r\n" .
'X-Mailer: PHP/' . phpversion();
// write the email content
$email_content = "Name: $name\n";
$email_content .= "Email Address: $email_address\n";
$email_content .= "Message:\n\n$message";
// send the email
mail ("myEmail", "Someone Wants a Website!", $email_content, $headers);
$to = $_POST['email'];
$subject = 'Thank you for contacting me!';
$msg = 'I have recieved your correspondence and will get back to you as soon as I can. Best regards, Mike Wilcox Designs';
mail($to, $subject, $msg);
header("Location: ../index.php"); exit;
?>
I am also using jquery validate
<script>
$(document).ready(function () {
$('#contact-form').validate({
rules: {
name: {
minlength: 2,
required: true
},
email: {
required: true,
email: true
},
message: {
minlength: 2,
required: true
}
},
highlight: function (element) {
$(element).closest('.control-group').removeClass('success').addClass('error');
},
success: function (element) {
element.text('OK!').addClass('valid')
.closest('.control-group').removeClass('error').addClass('success');
}
});
});
</script>