Whenever I have booked a reward flight, right above the "select" button for a flight, it says "xx,xxx miles and $xx.xx" its quite clear what the fee will be, and as I progress through to purchase, it lists the fee in miles and dollars, up until it prompts me to purchase.
As far as other close-in booking fees, I am not aware of any specific fees which would apply in any other type of ticket.
Please post either a screen shot, or cut and paste your reciept information, and maybe we can figure out what this fee is.
Also, you aren't going to get anywhere "demanding" your credit card refund any fees. For starters, they cannot do anything until the charge formally posts to your account, and even then, they usually will require you to attempt to settle with the merchant before proceeding to a dispute.