So from what I understand,

1. You click unlock once and the driver door unlocks. Then you click a second time and the passenger door and trunk unlocks. When you click lock all of them locks.

This is normal and seems to operate fine.

2. Now when you put key in the lock and turn to the left only the driver unlocks and when you turn to the right only the driver door locks.

I do not think this is normal. On my car, when I put the key in the lock and turn left all locks unlock and when I turn right all locks lock.

I'm not sure what the problem is. I have not heard of this problem.