Script non funzionante

[zacca94]

            switch($_GET['step'])
        {
            case 1:{
                    include 'step1.tpl';
                    /* # step1.tpl
                    <form action="page.php?step=2" method="post"><input type="submit" name="submit"></form> */
                    }break;
            case 2:{
                    if ( isset($_POST['submit1']) )
                    {
                        if ( empty($_POST['name']) )
                        {
                            echo 'Inserisci un nome.';    
                        }
                            
                    header('Location: page.php?step=3');
                        
                    }
                    include 'step2.tpl'; /* #step2.tpl
                    <form action="page.php?step=2"  method="post"><input type="text" name="nome"><input type="submit" name="submit1"> */
                     
                    }break; 

Non mi effettua il controllo allo step=2, perchè?