using wp-login.php as a template.
is not a correct way to do that.
You’d better use the wp_login_form() function in a custom template.
EDIT:
And if you want to add an option to reset password you could do this :
add_action( 'login_form_middle', 'add_lost_password_link' );
function add_lost_password_link() {
return '<a href="https://wordpress.stackexchange.com/wp-login.php?action=lostpassword">Lost Password?</a>';
}