Hi Robert - Thanks for reaching out!
ShippingEasy is a back-end shipping solution. We provide tools to manage your orders once they have been placed, but we do not interact with your shopping cart.
These articles provides a little more information about how ShippingEasy works:
We also have a few forum threads that delve into your options to display rates in your WooCommerce shopping cart. This is one of the more detailed discussions:
I hope this helps! Please post your follow up questions in the comments below.