Mazda 6 Service Manual: No.23 a/c does not work sufficiently

No.22 vibration concerns (engine)

No.24 a/c is always on or a/c compressor runs continuously

Other materials:

Mazda 6 Service Manual: Manual Transaxle Shift Pattern
  The shift pattern of the transaxle is conventional, as shown. Depress the clutch pedal all the way down while shifting; then release it slowly. Your vehicle is equipped with a device to prevent shifting to R (reverse) by mistake. Push the shift lever downward and shift to R.   ...

Mazda 6 Service Manual: Ignition Switch
Push Button Start Positions The system operates only when the key is within operational range. Each time the push button start is pressed, the ignition switches in the order of off, ACC, and ON. Pressing the push button start again from ON switches the ignition off. NOTE The engine star ...