[MrSweet1991]

As far as I'm aware, no.

AUC Sensor is an air quality sensor located drivers side just under bonnet.

Auxiliary water pump - That fails on most BMW's, its an auxiliary water pump separate to the main water pump and provides circulation with just the ignition on so you get warm air for longer with engine off, it can also bleed new coolant and prevent the head from warping if the engine overheated, I believe this is because it prevents hot spots once you turn the engine off and it will continue to circulate the coolant.

IHKA is your climate control module

Road speed signal will be down to a faulty wheel speed sensor, depending on your year that will either be a ABS Reluctor ring or it is embedded into the wheel bearing. It could also just be a faulty sensor.

Diversity antenna is because of your aftermarket head unit I believe

Fan not functioning is in relation to the original head unit I think

Central information and GPS faults are again all to do with the aftermarket head unit.

Can you do a video of the car when you attempt to start it while also displaying the voltage