First, the car had a rough idle, the RPMs would jump from 1k to 2k continually. Then i was trying to see what the problem was with my power steering system, it did not work right. Then, while turning the steering wheel right, left, suddently, the starter started working and the engine stopped ant the same time. When i turn the key to the ON position, the starter is turning the engine and removing the key from the ingnition will not stop the starter until battery is disconnected. and the engine will not start. Remote door lock stopped working.Only 100k miles on the car. I dont know what could be the problems, seeking advice, Thanks