Second opinion wanted on transmission woes

[Architex_mA8tey]

From Ross Tech Wiki if this helps -

17118/P0734 - Gear 4: Incorrect Ratio
Possible Causes
Wiring and/or connections faulty
Sensor Gear Position Indicator faulty
Gear Solenoides faulty
Mechanical failure

Possible Solutions
Check wiring and connections
Check Sensor Gear Position Indicator
Check Gear Solenoides

17119/P0735/001845 - Gear 5: Incorrect Ratio
Possible Symptoms
Clutch Slipping
Reduced Power Output

Possible Causes
Gear related Clutch slipping/faulty
Gear related Solenoid Valve dirty/faulty
Overloaded Clutch due to continuous high Torque or Tuning
Wiring and/or Connections faulty
Sensor Gear Position Indicator faulty
Mechanical Failure

Possible Solutions
Check Engine Values for Plausibility, especially Torque related ones.
Check Wiring and Connections
Check Sensor Gear Position Indicator
Check Gear Solenoides

Special Notes
The gear monitoring of the transmission control module checks the gear ratio by comparing transmission input and output speed in regard of the currently selected gear. This fault code is being set when recognizing an implausible transmission ratio.

17114/P0730/001840 - Gear Ratio Monitoring: Incorrect Gear Ratio
Possible Symptoms
Malfunction Indicator Light (MIL) ON

Possible Causes
Transmission Fluid contaminated
Transmission faulty (Mechanical Problem)

Possible Solutions
Check Transmission Fluid (Color and Contamination)
Replace Transmission Fluid when necessary
Check Transmission Mechanics

Special Notes
Transmission Damage may be caused by Engine Problems, make sure there are no other/relevant Fault Codes stored in Engine Control Module.

17087/P0703/001795 - Brake Switch (F): Electrical Malfunction
Possible Symptoms
Malfunction Indicator Light (MIL) ON

Possible Causes
Wiring and/or Connector(s) from/to Brake Switch (F) faulty
Brake Switch (F) faulty

Possible Solutions
Check Wiring and/or Connector(s) from/to Brake Switch (F)
Check/Replace Brake Switch (F)

Special Notes
When found in Vehicles with Drive-by-Cable (DBC) the Brake Switch (F) is connected to the Transmission Control Module. On older Models this Code is stored automatically after Terminal 15/Ignition is switched ON. If the Brake Switch (F) is OK you can avoid this Fault Code by pressing the Brake Pedal after switching on the Ignition and prior to checking Fault Codes. The Code should automatically be cleared then.
When found in Vehicles with Drive-by-Wire (DBW) the Brake Switch (F) is connected to the Engine Control Module In this case you should check the Engine Control Module for Fault Codes as well and the Data Bus Wiring between Engine and Transmission Control Module.