Big river will most likely make good on your charges as they are protective of their reputation as being the safest place to shop. You might want to login and see if you can still get into your big river account. Usually they change your password and email address. Also look at your address book for shipping addresses that look wrong.

If the purchases didn't go through your account, you have nothing to worry about, but if they did, CS will have to clean it up for you. This will take them a day or two at most.