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: Locking, Unlocking the Doors
NOTE The system may not operate if you are too close to the windows or door handles. If the key is left in the following areas and you leave the vehicle, the doors may be locked depending on the radio wave conditions even if the key is left in the vehicle. Around the dashboard ...

Mazda 6 Service Manual: Battery Recharging
NOTE Before performing maintenance or recharging the battery, turn off all accessories and stop the engine. To disconnect the battery, remove the negative cable first. Install it last when connecting the battery. Be sure to remove the caps before recharging the battery.   I ...