So not the OP, however. Im running into the same issue. Ive provided 12v power to the fan and it works. Ive replaced the hvac control module, fan speed capacitor, and the over head control and this has Auto on it if that makes a difference. Nothing seems to turn the fan on, same as OP the rear controlls always show off. Looking for further help in diagnosing it. Any help would be great.
Diagnosed thus far:
Rear blower motors good. Confirmed by adding 12 volts to the fan.
Actuators work when I change the temp and the position it should blow for feet and over head
Replaced fan speed capacitor. Has 3 wire input 2 wire output
Replaced hvac control module on the rear where you have red and Grey labeled mounted to the rear system between the 2 actuators.
Replaced only over head unit in the front.
Verified power through all fuses. Im getting 12v power to the capacitor for the fan speed but getting no output power. Ive tried 2 different ones. One new from Amazon another from a pulled unit. Surely i dont have 3 bad of those which is my worry. Sorry for any odd formatting. Im on mobile.