Form is not working - php

<form class="contact-form" id="contact" role="form">
					
										
					<div class="col-md-6">
						<input class="form-control input-box" id="name" type="text" name="name" placeholder="Name">
					</div>
					
					<div class="col-md-6">
						<input class="form-control input-box" id="email" type="email" name="email" placeholder="Email">
					</div>
					
					<div class="col-md-6">
						<input class="form-control input-box" id="subject" type="text" name="subject" placeholder="Subject">
						</div>
					<div class="col-md-6">
						<input class="form-control input-box" id="phone" type="text" name="phone" placeholder="Phone">
					</div>
					<div class="col-md-4">
					<input class="form-control input-select" type="radio" name="radio" id="radio" value="ident"> Pack 1 </div>
					<div class="col-md-4">
					<input class="form-control input-select" type="radio" name="radio" id="radio" value="identpro"> Pack 2</div>
					<div class="col-md-4">
					<input class="form-control input-select" type="radio" name="radio" id="radio" value="identweb"> Pack 3</div>
					
					<div class="col-md-12">
						<textarea class="form-control textarea-box" id="message" rows="8" placeholder="Menssage"></textarea>
					</div>
					
					<button class="btn btn-primary standard-button2 ladda-button" type="submit" id="submit" name="submit" data-style="expand-left">Send</button>
					
				</form>





<?php
// Email Submit
// Note: filter_var() requires PHP >= 5.2.0
if ( isset($_POST['email']) && isset($_POST['name']) && isset($_POST['subject']) && isset($_POST['phone']) &&   isset($_POST['message']) && filter_var($_POST['email'], FILTER_VALIDATE_EMAIL) ) {
 
  // detect & prevent header injections
  $test = "/(content-type|bcc:|cc:|to:)/i";
  foreach ( $_POST as $key => $val ) {
    if ( preg_match( $test, $val ) ) {
      exit;
    }
  }
  
  //
	$body=$_POST['message'].$_POST['name'].$_POST['phone'] .$_POST['radio'];
	mail( "email@email.com", $_POST['subject'], $body, "From:" . $_POST['email']);
 
  //			^
}
?>