Send mail using PHP script via SMTP

I have a form on my website where people can join events. The codes behind he for works this way:

All info is saved in a database. This part work fine

The second part of the codes send out an email to me and to the user with the info he intered (same info as saved in the database)

The issue is that the emails are sent unauthenticated through a default email on the hosting account. I have to modify the script to force SMTP authentication with a valid email under my hosting account to fix the error. Right now the script sends out the email but it ends in spamfilter with all ISPs so the user never receive the email.

I have no idea of how to do, or create the codes so the script use SMTP authentication. Below is the codes I have so fare. Can someone help me?

<?
// SEND OUT EMAIL PART
// COPY SEND TO MY SELF
 $to = "my@email.com";
 $from = $_REQUEST['email'] ;
 $name = $_REQUEST['name'] ;
 $headers = "From: $from";
 $subject = "Thanks!";

 $fields = array();
 $fields{"name"} = "Name";
 $fields{"address"} = "Address";
 $fields{"phone"} = "Phone";
 $fields{"email"} = "E-mail addesse";

 $body = "INFO:\
\
"; foreach($fields as $a => $b){ 	$body .= sprintf("%20s: %s\
",$b,$_REQUEST[$a]); }


// SEND TO THE USER
 $headers2 = "From: my@email.com";
 $subject2 = "THANKS!";

 $fields2 = array();
 $from = $_REQUEST['email'] ;
 $name = $_REQUEST['name'] ;
 $headers = "From: $from";
 $subject = "Thanks!";

 $body2 = "

TEXT TO EMAIL RECEIVER

\
\
"; foreach ($fields2 as $a => $b){ 	$body2 .= sprintf("%20s: %s\
",$b,$_REQUEST[$a]); }

 // ERROR MESSAGES
 if($from == '') {print "MISSING EMAIL ADDRESS.";}
 else {
 if($name == '') {print "MISSING NAME";}
 else {
 $send = mail($to, $subject, $body, $headers);
 $send2 = mail($from, $subject2, $body2, $headers2);
 if($send)
 {header( "Location: http://mysite.com/send.php" );}
 else
 {print "MISSING EMAIL ADDRESS ALL FILDS MUST BE FILLED!"; }
 }
}
 ?>

Use one of these:

http://swiftmailer.org/

This is how I setup an smtp email:


$message = "Your message including any html";

// Include the PEAR classes
include('Mail.php');
include('Mail/mime.php');

// Constructing the email
$sender = "me@domain.com";
$recipient = "somebody@home.com";
$subject = "Information requested";
// smtp mail server - get from your hosts
$host = "mail.server.com";
$username = "me@domain.com";
// Sender email address password
$password = "123456";
$crlf = "\
";
$headers = array(
	'From'          => $sender,
	'Return-Path'   => $sender,
	'Subject'       => $subject
	);

// Creating the Mime message
$mime = new Mail_mime($crlf);

// Setting the body of the email
$mime->setTXTBody($text);
$mime->setHTMLBody($message);
$body = $mime->get();
$headers = $mime->headers($headers);

// Setup the SMTP part
$smtp = Mail::factory('smtp',
   array ('host' => $host,
    'auth' => true,
    'username' => $username,
    'password' => $password));

// Send the email via STMP	
$mail = $smtp->send($recipient, $headers, $body);
}