[37offsuit]

A router sees two things: your outside IP address (which is what the poker site sees) and your internal networking address scheme. While you can have thousands of different computers inside your network (sounds like you have two), the outside world (poker sites, web sites, email recipients, etc) see you as having only a single address. So running an application on two different computers would look, for the most part, as if it were coming from one to the outside world.

I have nothing to offer about your current situation beyond that, but at least you got your money back.