I have only one router through time warner cable that only has one ethernet connector. Unable to connect computer and slingbox solo at the same time to register or setup at all.
Just buy a simple Ethernet switch like this http://www.amazon.com/Cisco-100-5-Port-Workgroup-Switch/dp/B002N17ZSE
The next problem is the computer that will be using the slingbox is in the Ukraine. How do I go about setting up the slingbox so a computer that is not on my home network can watch?
Just follow the setup instructions when you get it connected with the new switch, it's all covered.