Did the bank's counter offer specify that it is a multiple counter offer, meaning they're countering other offers besides yours? If so, and if the other buyers also accepted the counter offers given to them, there's no guarantee that it's your offer that was accepted. Your agent has to confirm with the listing agent whose offer was accepted.
But if the bank's counteroffer was only to you, and you accepted and received acknowledgement that your acceptance was received (this can be confirmed by fax indication that the fax went through, or if emailed, that the email was delivered and read), then you may be the successful buyer.
But your agent is your first resource to get the answer.
Hope you got it!