Check how you have the satellite cabled. I suspect that you have the video from the satellite to the TV but the audio cable going directly to the stereo. You probably have the DVD audio and video going directly to the TV. (I'm assuming you have the 32LA30rq and not the 32LA30rqd which has a built-in DVD and thus has the audio connection inside the TV.)
Since you don't mention which connection you are using for the DVD player and for the satellite, I will just mention the basics. If your DVD player is connected to one of the HDMI ports, that cable carries audio and video between the TV and the DVD player.
Devices that use component video cables use two separate cables. One cable with two sets of three RCA plugs carry the video; a second cable carries audio with 2 RCA plugs on each end. When you connect these, you do not have to connect the audio to the TV. (Similarly, a composite video connection can be modified for one line with the video signal going to the TV and the audio cable going to a speaker system.)
If my solution is correct, you may want to rearrange things. You can connect the satellite audio out to the TV audio in at the same location as you have the satellite video in. Then connect the TV's audio out (to the right of the component 2 in and above the coax audio out) to the stereo. Then switch the TV speakers off to use the stereo - Menu > Sound > Other Settings > Speaker On/Off. Then both devices will play either at the TV speakers or the stereo depending on the state of the TV speaker setting.
The manual is available here: http://tv.rca.com/product/manualdown.asp?modelnum=32LA30RQ
I hope this helps.