Sounds like a bad spark plug or spark plug wire to me.
I believe you are "standing", not parked.
If your car is running when parked then it is burning gas. Cars use gasoline to run the engine.
when the vehicle is parked they are raising the motor, Or when passing by it rattles the window
1986 Corvette. Car drove fine a week ago. parked it in the garage and today totally dead. Where fron here?
If no engine light is on it could be fuel filter
Exhaust fumes may enter and that is not good.
The relative size of the parking spot is dependent on what it is doing. Parked in a lot follows the standard design rules of 1.0. When at a hub that is totally a different story. it could be 2.0, 3.0 or even more if it is parked on the field of a park.
No it won't hurt the engine BUT you could get carbon monoxide in the car. Don't sit in a parked car with the engine running if your exhaust is bad - it could kill you.
As long as the parked vehicle is parked properly and not illegally parked in any manner, then the vehicle that rear-ended the parked car is at fault. Now if the parked car is sitting illegally (such as double parked or parked in a no parking zone, etc.) then the parked car is at fault or even both the parked car AND the car that hits it are BOTH at fault.
The person's who parked it there, (its parked illegally.)Not your fault.
Parked was created in 2011.
the "check engine" light will come on or there will be a puddle of gasoline or oil where the car is parked