Q: Intermittent random faults showing up on dash and I drive system. One at a time. Mainly transmission error and lighting system err

Just bought the car tonight on my way home the iDrive system told me that there was a transmission error but did not affect drivability. It comes and goes then stopped for a short time showing any code. Later on the drive probably 30 minutes later the computer then shows lighting system failure. This does affect drivability as I'm no longer able to see whether or not my blinkers are on there is no light behind the gauge cluster and the iDrive system becomes unresponsive. All symptoms and codes are intermittent. Battery was recently replaced at the dealership. I don't know if that's causing some sort of electrical problem as I've heard that the batteries in the BMW E60 require some sort of recoating to the computer to inform the computer that a new battery has been installed. The only other thing I can think of is that there is some sort of processor failure in the onboard computer.

My car has 82000 miles.
My car has an automatic transmission.