Hello WereBlair,
What was happening was that your card was declined because it did not pass the Address Verification System (AVS) check. This indicates that there is a discrepancy between the billing address entered for the card on Paizo.com and the billing address your bank has on file for the card. Please ensure that all of the information entered for the payment method is accurate and then try to submit the order again.
On your account you may see multiple authorizations or holds, which occur each time our card processor is asked to contact your bank to check if the card is good. When this happens, many banks choose to put a hold on the funds for the expected charge. However, because your card was declined, we won't finalize these charges. Authorizations typically reverse a few days after they appear, when your bank chooses to release the funds. I ensured this has already happened for these authorizations. If you have any further difficulties submitting the order, please let us know. Thank you!