I've tried creating a contact form using the folllowing:

HTML Code:
<form name="contact_form" method="post" action="">      
      <label for="name" class="fixedwidth">Your Name: </label>
      <input name="name" type="text" id="name" size="40" />
      <label for="name" id="name_error" class="error"><em>*</em></label>
      <label for="email" class="fixedwidth">Your Email: </label>
      <input name="email" type="text" id="email" size="40" />
      <label for="email" id="email_error" class="error"><em>*</em></label>
      <label for="subject" class="fixedwidth">Subject: </label>
      <input name="subject" type="text" id="subject" size="40" />
      <label for="subject" id="subject_error" class="error"><em>*</em></label>
      <label for="msg" class="fixedwidth">Your Message: </label>
      <textarea name="msg" id="msg" cols="40" rows="7"></textarea>
      <label for="msg" id="msg_error" class="error"><em>*</em></label>
    <div id="button">
      <input name="submit" type="submit" value="Submit" class="button" />
$(function() {
  $(".button").click(function() {
          var name = $("input#name").val();  
          if (name == "") {  
          return false;  
          var email = $("input#email").val();  
          if (email == "") {  
          return false;  
          var subject = $("input#subject").val();  
          if (subject == "") {  
          return false;  
		 var msg = $("textarea#msg").val();  
            if (msg == "") {  
          return false;
		var dataString = 'name='+ name + '&email=' + email + '&subject=' + subject + '&msg=' + msg;
		//alert (dataString);return false;
      type: "POST",
      url: "process.php",
      data: dataString,
      success: function() {
        $('#contact').html("<div id='message'></div>");
        $('#message').html("<h2>Your Message Was Submitted!</h2>")
        .append("<p>We will be in touch with you soon.</p>")
        .fadeIn(1500, function() {
          $('#message').append("<img id='checkmark' src='images/check.png' />");
    return false;
PHP Code:
if ((isset($_POST['name'])) && (strlen(trim($_POST['name'])) > 0)) {
$name stripslashes(strip_tags($_POST['name']));
} else {
$name 'No name entered';}
if ((isset(
$_POST['email'])) && (strlen(trim($_POST['email'])) > 0)) {
$email stripslashes(strip_tags($_POST['email']));
} else {
$email 'Invalid email';}
if ((isset(
$_POST['subject'])) && (strlen(trim($_POST['subject'])) > 0)) {
$phone stripslashes(strip_tags($_POST['subject']));
} else {
$phone 'No Subject';}
if ((isset(
$_POST['msg'])) && (strlen(trim($_POST['msg'])) > 0)) {
$phone stripslashes(strip_tags($_POST['msg']));
} else {
$phone 'No message entered';}
<style type="text/css">
<table width="550" border="1" cellspacing="2" cellpadding="2">
  <tr bgcolor="#eeffee">
  <tr bgcolor="#eeeeff">
  <tr bgcolor="#eeffee">
  <tr bgcolor="#eeffee">

$to 'myemail.com';
$email 'myemail.com';
$fromaddress "myemail.com";
$fromname "Online Contact";


$mail = new PHPMailer();

$mail->From     "myemail.com";
$mail->FromName "Contact Form";
$mail->AddAddress("email_address@example.com","Name 1");
$mail->AddAddress("another_address@example.com","Name 2");

$mail->WordWrap 50;

$mail->Subject  =  "Form:  Contact form submitted";
$mail->Body     =  $body;
$mail->AltBody  =  "This is the text-only body";

$mail->Send()) {
$recipient 'myemail.com';
$subject 'Contact form failed';
$content $body;    
mail($recipient$subject$content"From: mail@yourdomain.com\r\nReply-To: $email\r\nX-Mailer: DT_formmail");
Everything works from a users end- meaning the form validates that all fields have been filled in, and the user gets the confirmation message, without the page refreshing, that form was submitted..... BUT I do not receive the emails. I'm assuming there must be an issue within the php.

What error(s) have I made????

Also, if you could assist with a better jquery validation, it would be greatly appreciated!!!