Insofar as you are not attempting to make any changes to the account, I would be surprised if there was a problem. However, you'll have to sort this out eventually.
Kaled.
I ran into a similar situation with Network Solutions a while back and they took my money without batting an eye. I just tried their interface again and it looks like all they care about is that you have a valid credit card.
Then, AFTER you secure more time with the domain, figure out the next step, which is revising the information so you don't have the same problem next go around.
Keep copies of the money order or check so you can show later that you are who paid this time if that becomes a question.