They don't need much info if they know how to get more- your property info is now available and that's just the tip of the iceberg.
My CC number was used by someone who bought something on ATT.net and the manager of the ATT store wouldn't let me see the video of the transaction, during which they never asked for ID. I had to go to the PD to report this and they were to subpoena the video, which likely never showed up or they didn't bother to finish the case because it was only about $120, but the real problem is that they had my name, company name, could easily find my address and other info that's available on the internet. While I'm not aware of any additional problems that are connected to this, I really don't like so much visible info on the internet.