general problems of the 2011 Infiniti QX56

Timing chain started rattling @ 125,000 miles. . However, my VIN shows no recall for my car. Cats went bad, had to be replaced and now need to be replaced again. Yet no recall on my car. The battery constantly goes dead in the car. I bought a new infinity battery in the car the same thing happened. You can reproduce this problem by sitting in the car listening to the radio for 30 minutes. I was sitting in the car listening radio and the car battery went dead and the car shut off. This is a huge issue, the Qx56 is a 8 cylinder car. It does not charge very easily. I have to carry a battery charger in my car. I have been stranded several times in the last year. I have taken the car to infinity and they claim nothing is wrong with the car. Since it is a big car the battery drain quickly.