Are there any hvac trouble codes ? Did you check voltage and ground for front blower motor, with controls turned on? I believe the purple wire is voltage and black wire is ground. If good voltage and ground with no blower action, suspect the blower motor.
With auto hvac didn't see relay, saw blower motor control processor, at control processor, did you check voltage and ground?
As far as replacing the blower motor control processor, that appears to be a very involved procedure. I can't lead you step by step to remove and replace.
Auto.com
Has free repair info, you have to register your vehicle, it is free. Then click on vehicle repair guides, take a look.
If you want wiring diagram, let us know?