the code:
<?php if ($LEDCart->GetShipping() == 0) { ?>
Free Shipping
<?php } ?>
is specific the cart object being named LEDCart. you would need to edit the code to use the correct art object name.
you don't really set up rules for free shipping, you would set up rules with conditions that should be met for them to apply, if they don't apply, the $cartName->GetShipping() will return 0 thus shipping is free, that returns the total for shipping, so it would account for both shipping and handling.
to change the progress bar, open the checkout page, and click the blue bounding box that is around the cachet form, then in the property inspector, edit the progress bar to change it's settings.