OriginZip is required when DestinationPostalCode and AcceptanceDateTime are populated.

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No Estimates For Shipping Method Reason: Error: OriginZip is required when DestinationPostalCode and AcceptanceDateTime are populated.
Explanation: The distribution center is either is configured without a zip code or the zip code is invalid. Navigate to the Shipping Configuration → Distribution Centers then edit the DC and then update the address fields in the first tab of the Distribution Center Editor.

Navigate: Main Menu → Configuration → (middle menu) Checkout → Shipping → (middle menu) Distribution Centers

Edit the Distribution Center then update the address portion of the first tab of the editor then save the changes:

Update the postal code then save the changes: