Jennie from Shopify here! I had a look and some of your products are set up to not require shipping. If any of these products are added to the cart and taken to checkout, Shopify thinks it is a digital good or service that does not require shipping, so we do not offer the rates you have set up to your customer.
The easiest way to turn on shipping for all your products is to use our Bulk Editor. Once you make sure you have shipping activated on your product, or if you test a product where shipping is turned on, you'll find you do get all available options in checkout: screenshot