Okay, so I've managed to fix my problem of no video being displayed. I'm currently using a completely generic Conexant PCI capture card from eBay. It uses the Conexant BT878 chipset. To get your similar card to work, uninstall all current video capture drivers in Device Manager, download this file, run it, and select video capture driver as Conexant NTSC, continue with install, reboot, and you're done. You should get a video input on EyeLine now, but I haven't tried it with multiple video channels.
I hope that solution has helped someone out there with the same problem of getting no video signal from the drivers using a generic eBay capture card, but I am now facing problems with EyeLine crashing, but I don't get any crashes with AMCap...