The passport shouldnt be an issue as your driving license is in your new name and they dont check your passport at the car hire desk. The credit card could be as they will want to ensure that if there is any need they can get your money. If you take your marriage certificate to prove you are married then Ii wouldnt think there would be any problem. Normally the lead driver and credit card holder must be the same person (which I know you are but if the paperwork doesnt tie up not sure how it works).