I a bit confused because your questions seem to wander a bit and I hope I'm answering your question: The component cables that are connected from the DVD-half of your combo player to the TV are specifically meant for DVD playback. They do not send VHS signals or the TV signal from your combo players TV tuner. To watch TV on your TV from component connections, you need to connect your cable box directly to the TV using component cables. I have the same setup in my bedroom as you, and I do have the cable box connected to my combo player/recorder so I can record programs on VHS, but I am limited to either coax, S-Video or RCA connections. My combo player does not have component inputs for video, only component outputs. Is yours the same? If by chance your combo player does have component video inputs, then I guess it's possible to do what you want: Component Video-Out from cable box to combo unit, then component Video-Out from combo player to TV.
Asked another question on here that I could use help with to, but wanted to ask this one as well.
My cable (comcast) is fed into my surround sound system (Zenith all in one (has dvd and vcr)- not sure the model but its somewhat old). From there I have composite cables running from the surround sound/DVD player into the tv. The picture quality is pretty crappy. I tried connecting an S-video cable from the dvd player to the tv but recieved no video signal. I changed the input on the tv and the DVD/surround but recieved only audio through the surround sound speakers. I also just purchased a component cable and hooked that from the dvd to the tv. Again I recieved audio through the surround sound speakers but recieved no video. I could play a dvd with progressive scan on and it did look much better.
What i want to know is how do I recieve the cable video from the DVD/Surround to the tv using the component cables? I am stumped and could definatly use some help.