The state & zip code is still passed even though you aren't seeing it on that page. If you were to ignore the 'Province' fields altogether and click through to complete your order, you would find the correct address on the confirmation page. I know it would be ideal to fix it so the state shows upfront, but in the meantime the functionality works ok.

Regarding the weights, you will need to enter a weight for each product, or you can go to Configuration > USPS Auto-fill > Default weight (pounds) and/or Default weight (ounces)