Okay, if you are having trouble with the shipping method, it is best to contact support by opening a ticket: https://bolderelements.net/support/tickets/new/
Please note, however, that I am not aware of any issues with running the latest WooCommerce along with the Table Rate method. You will not find it as an option in the new shipping zones because plugins have to be specifically developed for them. This will come in version 4.0 due out early next year. Until then the plugin simply functions as it did before, using the self included zones under the ‘Shipping Zones’ tab.
If you have trouble getting shipping to show in the cart but everything works well under WooCommerce 2.5, then it may be your theme. If it overrides the cart template for shipping, you will need an upgrade when using WooCommerce 2.6 as they made significant changes to these templates in 2.6.