Hello Erik,
The card was being declined because it failed 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 the order should go through.
It appears that this did open authorizations for each attempt. Authorizations typically reverse a few days after they appear, when your bank chooses to release the funds. If I can provide any further assistance, please let us know. Thank you!