The ambient temp reading in the OBD menu is in degrees C, xx.x
your temp was 27.5C (81.5F) and it went up to 42.0C (107.6F), that should not be the cause of your A/C not working.
The FSR controls the fan speed, if your fan isn't working properly on the auto setting or manually it may be the FSR.
If your "code reader" will connect to the Heating and A/C system you can read the high side A/C pressure as well as the heating and A/C temperature settings and sensors.
Is the compressor engaging? Is the belt still on the compressor?
Check the fuses for the A/C, there are several including a small one for the hot water valve.
Discounts on new and CPO cars.
Most Dealers offer a parts discount, BMP Design 10% off