In fairness to the OP.. while I don't agree giving up so soon on an awesome phone due to defects... but I am one of those unlucky fools that ALWAYS has problems with everything I buy. My brand new LCD TV (2 years ago now), would constantly go on with NO audio, had to turn it off and on several times for it to finally work. Spent hundreds replacing HDMI, fiber optic cables, receiver, etc.. no good. Same thing with my iPhone... had some issues.. lived with it. My Droid, I was so bummed..I brought it home, and it would randomly just go off and I had to pull the battery to get it to come back on. Got it replaced.. so far this 2nd one has been good.
But I do believe it's possible. If the OP bought it at a local store, it's possible a bad batch of phones made it to that store and the OP just got unlucky a 2nd time! I'd go back again and get a third, turn it on AT the store, make sure it all works.. then go with it or not.