Cookie not created variable not passed to next page

[tendemo]

Hi am trying to make an auto login form. Once person signs up, he no longer needs to login and is automatically directed to his profile page thanks to a cookie storing his values.
I have been working with two files. 1) Index and 2) Registration However even after a successful registration, when I refresh the "index page", I still get redirected to the "Registration Page" meaning neither the Cookie nor variable Im trying to pass onto another window aren't working. What might I be missing ? Thanks
index.php

<?php
$cookie_name = $_POST['$name'];
$cookie_value = $_POST['$email'];
setcookie($cookie_name, $cookie_value, time() + (86400 * 30), "/"); // 86400 = 1 day

if(!isset($_COOKIE[$cookie_name])) {
     // echo "Cookie named '" . $cookie_name . "' is not set!";
      header('Location: registration.php');
} else {
     header('Location: http://www.cnn.com');
}
?>

Registration.php

<?php
$name="";
$email="";
$msg_to_user="";
//$numsRows="";
//$sql="";

if ($_POST['name']!=""){
 include_once "connect_to_mysql.php";
 $name= $_POST['name'];
 $email= $_POST['email'];
 
 $sql = mysql_query("SELECT*FROM users WHERE email ='$email'");
 $numRows = mysql_num_rows($sql);
 //echo $numRows;
 
 if(!$email) {
    $msg_to_user='Please input a Valid Email Address';
        }else if ($numRows > 0){
    $msg_to_user='<br/></br><h4><font color= "FF0000">  Email is already in the system </font></h4>';
} else {
    $sql_insert = mysql_query("INSERT INTO users (name,email) VALUES('$name','$email')") or die (mysql_error());
    $msg_to_user='<br/></br><h4><font color= "FF0000">Thanks you have been added successfully</font></h4>';
    $cookie_name = $_POST['$name'];
        $cookie_value = $_POST['$email'];
setcookie($cookie_name, $cookie_value, time() + (86400 * 30), "/"); // 86400 = 1 day
//$name="";
//$email="";

    
                            
}
 
 
}
?>

Thanks