I love Logitech {sarcasm}
They sell this thing as for TV Home Theater, and yet on their "Getting Started" they show you a big TV, but no instruction or a picture of how you connect it to a TV. A quick glance at the back of the connection box, I see only analog connectors, no digital connections, THAT right there tells you u never going to get surround out of your TV because surround in TV outputs with a digital signal. This Logitech is made to be hooked up to a PC, (Logitech is a PC-centric company, not known for audio) not really for a TV. With a TV all you can get is stereo, IF and this if big if, your TV has a headphone out jack.
But you may have other problems. U never mention, but do you have an AV receiver in the middle of all these. Because wo one, you will find more disappointments.