Mazda 6 Service Manual: No.12 torque converter clutch (tcc) non-operation

No.11 shift point is high or low

No.13 no kickdown

Other materials:

Mazda 6 Service Manual: Intermittent concern troubleshooting
  Vibration Method 1. If malfunction occurs or becomes worse while driving on a rough road or when engine is vibrating, perform the steps below. Note There are several reasons vehicle or engine vibration could cause an electrical malfunction. Some of the things to check for are: ...

Mazda 6 Service Manual: Push-Starting
Do not push-start your Mazda. WARNING Never tow a vehicle to start it: Towing a vehicle to start it is dangerous. The vehicle being towed could surge forward when its engine starts, causing the two vehicles to collide. The occupants could be injured. CAUTION Do not push-start a vehicle that ...