Capturing a DVD via converter

Hey, here’s my problem
I’ve got this DVD I want to burn and I bought a digital video converter to do it with. My dvd player is lame and since the disc is scratched slightly (I’ve tried cleaning it with a kit), it won’t play. BUT, it will play on a computer except for a little part at the beginning. So what I want to do is start playing the DVD after the scratched part and capture that onto a computer.
So what I’ve been trying to do is play it through a friend’s laptop and hook the laptop up through the video converter to my desktop. I’ve already recorded a few videos through the converter with a VCR so I know the converter works.
The laptop has an S-video out port and I’ve plugged the cables in there but I can’t seem to get it to work. The image isn’t going into the desktop even though I can play dvds through the computer and onto the TV.

Is there a way to specify that you want to the video to play through the s-video out port? If not, what should I do because I’m having to return this DVD pretty soon.

Thanks