Very cool that you got your bike back!
I just thought I would throw an idea out there that I've done with my bikes. You've all probably seen those little tags golfers use to "ID" each golf club in their bag. I ordered a set and I place one on the handlebar underneath the grip tape a couple inches from the end of the bar. Its easy to unwrap a few inches of tape and show the cops the tag with name, address, phone number, etc, whatever you decide to have printed on the tag.

Of course this is just an added plus to having pictures and the s/n recorded.
Cheers,