Yes I am going to keep the first computer connected to the internet the way it is. The second computer is not going to be connected to the internet at all.
What I want is to use 2 patch cables and a router to connect the computers, as the wireless I already have for the internet creates more problems than I want anyway. Plus I have no money for anything right now, especially wireless stuff.
Another reason I want the router is so when I get my other computer going again I can just plug it into the router along with the other 2. So eventually there will be more than just 2 computers networked together.
Also the router I have is wireless, so after I set up the computers with wires, can I also use the wireless, like have my dads laptop connect into it wirelessly? The only thing this network will be used for is games.
And when you say plug the computer into the router, the router has a 'Wan' port (which I am assumeing is the modem port, the plug is for a ethernet cable), then 4 other ports for 4 more computers. Do I connect the 1st computer into the Wan port, then the other computers into port 1, port 2, etc. Or do I ignore the Wan port (because this isnt going to connect to the internet) and plug computer 1 into port 1, computer 2 into port 2, etc?