Here's another question if you may, since there is no statement being issued to me by my old bank because my card had expired, I assume I have no debt to my old bank. Is that correct?
Correct. But why do you think you owe anyone anything? If the bank is not sending you a bill, nor the service you subscribed to, then the service probably cancelled your service when its request for payment was declined and that's that.

If you are going to write anyone, I'd write the service. But, I think they would have already contacted you if you stilled owed them something.