Mazda 6 Service Manual: No.2 vehicle moves in n position

No.1 vehicle does not move in d, s, l ranges, or in r position

No.3 vehicle moves in p position, or parking gear does not disengage when p is disengaged

Other materials:

Mazda 6 Service Manual: Manually Shifting Up
You can shift gears up by operating the selector lever or the steering shift switches (some models). M1 → M2 → M3 → M4 → M5 → M6 Using selector lever To shift up to a higher gear, tap the selector lever back (+) once. Using steering shift switch (some models) To ...

Mazda 6 Service Manual: Driving Tips
WARNING Do not let the vehicle move in a direction opposite to the direction selected by the selector lever: Do not let the vehicle move backward with the selector lever in a forward position, or do not let the vehicle move forward with the selector lever in the reverse position. Otherwise, t ...