RCA cable on your camera. I think you may find it is
Yellw = Video source
white and red = audio left and right.
When you say network, do you mean you want to see it over the internet.
EG if you are at work you can view what is happening?
Yes an ezcap will do this no probs. You just need to plug in, leave your home pc running and connected to the internet.
The main problem is how do you connect to the camera over the internet. There are quite a few programs out there, most that you have to pay for but i have come across the one below, it is currently free and i'm sure will do the job for you.
http://www.homecamera.com/index.shtml