I would suspect the park pawl gear is broken.
cable from shifter to transmission is broken.
If you are walking with no car, how can it be in Park?
Most definitely. It does not take much to damage a car today with plastic bumper skins.
Engine miss.
Check the fuse for the brake lights. If that fuse is blown it will not come out of park.
I normally park in a car park, can you re-phrase the question please!
it will not work
Cold
You park in the basement car park.
If your car shakes while underway, your tires have worn incorrectly from misalignment. If it shakes while in park or not moving, your engine is misfiring.
when you take the car out of drive and put in park the drive mechanism or transmission does not put as much load on the engine so it runs faster.
If a car is hit while in park, it is important to call the insurance provider and make a report. It is also important to talk to the owner of the parking lot and see if any security cameras caught who did it.