First-class retail package service to zone 8 per USPS website for 7 ounces is $5.00. Your app gives a quote of $3.92. Is this a discounted rate? If so, where do I find this rate on the USPS website?
It’s hard to tell without the exact details about plugin settings, order, and what USPS returned for the request. Could you gather the debug info:
1. Enable the WooCommerce shipping debug mode: WooCommerce -> Settings -> Shipping -> Shipping options -> Enable debug mode.
2. Go to the cart/checkout page with the order you are getting unexpected shipping options for.
3. Look for the ‘Found X USPS rates’ notice on the top of the page and click ‘Copy’ there.
4. Paste the copied details here.
5. Disable the debug mode.
As for the commercial rates question, you’d better consult with USPS and the labels print service.