I verified with just name and address to a customer service rep and asked for the steps I'd have to do to unlock it again, and they told me that (a) the transaction failed, (b) they told me my IBAN. In plaintext. The full IBAN. (c) and then they told me the steps to fix it (wire them the money that I was owing them, plus 6 EUR. Standard procedure in Germany).
In the end, everything worked again, but, the fact that they gave out by IBAN — enough info for anyone to go and pull money from my account — is making me so angry.