OK, everything is working correctly.
I have added dynamic text before the word 'Shipping' on the Confirm page so whatever shipping option selected on the shopping cart page will be repeated. <td class="eC_SummaryLabel"><?php echo $_SESSION['upgrade']; ?> Shipping</td>
Result -- First Class Shipping, Priority Shipping, or Overnight Shipping
All works great for USA shipping
However, if someone selects an upgrade and the shipping address is outside the US, while the additional shipping fee will not be added (I created shipping rules) the name still appears before Shipping.
Is there a way I can create a function that if shipping address is not US only show First Class (regardless of which radio button selected on shopping cart page)?