Television and Home Theater

Good Afternoon All!
I have an RCA P46924 Projection TV that I need help with. A few months ago, there started a light whistling sound coming from the rear bottom of the TV intermittently. Now, the TV will turn on and off by itself and when you are watching it, the Menu Feature will come up by itself or the Channels will switch (again, by itself). If I unplug it from the Wall, wait a couple of hours, it will work ok, then the noise and the switching will start up again. I have unplugged the front control panel (thinking it might have a short), but no success.

Since the day I've purchased it it's had a problem, and I was informed it was some type of manufacturers defect. The TV, with no consistency, will sometimes fail to power up. The tube will initiate, but immediately fail. Thereafter, it responds neither to the remote or manual button to power on. The only way to reverse this effect is by unpluging it, and then plugging it back in. It then works fine, until another random point where the same problem will start again.

Help. I need the connections to hook up a Polaroid DVD/VCR combo player #DVC-2000 to a Sony LCD Projection HD-TV #KDF-E50A10 with a Dish Satellite Receiver and antenna? Thanks