It sounds like there may be some carbon in the combustion chambers causing pre-ignition and run on after shutdown. Purchase a container of engine combustion chamber cleaner with Techron in it. Follow the directions. You add it to your fuel tank. It cleans the fuel system and combustion chambers of deposits. By reducing deposits you reduce the chance of engine run on after ignition shutdown. Also you can try a tank of premium fuel. If the engine stops properly that's another indication of deposits.
ANSWER--- Check the timing
That's almost a question.
take it back to the dealer, it should still be under warranty.
"What is the gazebo looking dashboard warning light on a 2003 Mazda tribute and why does it stay on for a minute before shutting off when you initially start the car Mazda tribute and why does it stay on for a minute before shutting off when you initially start the car?"
There is a safety valve in the car, so when the gas tank is full you here the click of the valve shutting off
oil light on when engine off
I would check coil, leads, and plugs.
Fuel pump or filter??
Loose ground
As a temporary fix turn key to the "on" position after shutting car off than back to "off" to remove key
The engine shutting off could be the control module or the pickup coil within the distributor. The steering wheel locks???
What kind of car is is? When it jerk while shutting off, do you turn the key off and it sits there chugging for a second before stopping?
I think it is the time belt