No on the video. Droid hardware does not support video output to another device.
Yes and No depending on the TV. I personally have a headphone jack with 2 male ends and I plug one into my Droid and the other into my AUX headphone input on my TV. You can do this with a car stereo too if you have an AUX headphone input.
Another thing you could do is get a cord with a male headphone end and an RCA audio (red/white) on the other end. This way you can plug the audio RCA into a TV or a stereo receiver input.