No. Your remember me checkbox will need to be check and you need to set the RememberMe properly on line 16 to use the checkbox as the trigger like:
$Authenticate->RememberMe = (isset($_POST["prescMINDME"]));
Then it will save a cookie but only if the checkbox is checked (and it will remove the cookie if the form is submitted without the checkbox checked),
Then you would have to bind the value of your username column to the saved cookie like:
value="<?php echo(isset($_COOKIE['RememberMe_teamEMAIL'])?$_COOKIE['RememberMe_teamEMAIL']:""); ?>"
The wizard should do all of these things automatically when you select that option.