I have a 2001 BMW 325i. It started with the rear

The connector on the rear lights gets burnt and you have to replace the connector, the burnt wire, and the taillight assembly. For the locks it could be a few things. Does the central lock button work all the doors? Does the remote function work with any doors, or trunk? Could be anything from the driver's door lock actuator to the general module for the car. If you have a scanner to check the ZKE module and code "general locking, unlocking relay" is there then a new general module is needed. The relays are built into it.