Won't Skype tell you the IP that was used by the thief?
No, they won't. In general companies tell you to contact the police, etc and go out of their way to be useless.
Some months ago I had someone purchase a plane ticket using my credit card. My bank sent me a SMS when the charge was made (usual alert system, they SMS each time there's a charge). I had the phone with me so I could do something instantly. This is what happened:
- The charge was made for a plane ticket on Airchile according to the SMS.
- I called the bank *inmediately* (as the SMS said) to notify them of the charge. Well, guess what, it was a Sunday at 23:00 or so and they were closed. So the bank couldn't help.
- I drove to the airport to talk to Airchile, which happened to be opened at the time because they was a flight leaving from Madrid to Santiago in a couple hours (I was hoping that the bastard was there). They couldn't help.
- I went to the police station in the airport and they couldn't help because I needed a bank statement before they could do anything. Really? I have to wait until the end of the month before I can file a report with the police?
You see - even if you are really willing to track things down and not demand your money back, the other parties involved rarely assist.
Eventually I got my statement, filed the report (useless at the time of course) and got my money. But I great chance to catch the guy was lost.