Shipping Zones With Shipping Classes is not working

Hey!!
I have setup different Woocommerce Shipping zones with different shipping classes and Fees in it.
It is only working for United States zone. I have few more countries that have the same shipping class prices within the USA zone and it works perfectly.

But I have few more shipping Zones, like for Australia, Japan, UK and for those shipping zones, the shipping class not applied and it only shows standard shipping (Flat rate $0).

The page I need help with: [log in to see the link]