here is an example of the reverse issue:
https://youtu.be/6yDrEB-YHMYYou can see my brake lights are on and my speed is 0 but no revervse for a few seconds. This is a mild case, the other day when I got busted it wouldn't reverse for around 9 or 10 seconds.
I will try and get more videos for you. My main car is a Focus RS with the following:
E Air Filter
E Cooling System
E Intake Manifold
E Fuel System
E Forced Induction
E Electric System
E Ignition
E ECU
R Engine Block
E Cam Shaft
E Cylinder Heads
R Exhaust Manifold
E Exhaust System
E Clutch
E Nitrous System
E Suspension
E Differential
E Drift Tires
E Brakes
E Handbrake
E Sway Bars
However, the reverse and steering issues happen with every car I've tried so far (Subaru BRZ, Nikais Porchse, Aventador and the RS).