How can I set weight-based shipping rates on Shopify?

I do have Shopify Shipping but your calculator doesn’t show the USPS flat rates to the customer if it’s a choice.

It’s also not giving the customer the First Class choice if the item is small and lightweight.

I do have Priority Mail and First Class mail listed in my services in my General Profile in my Shipping and Delivery Settings but the calculations are not showing up at checkout.