Great entry that fits the constraints and makes me chuckle with i's faux-seriousness. Controlsare pretty good and very consistent graphics as well.
Just a few points wit the gameplay: you are currently not really punished for hitting something and that feels a bit odd. Maybe some damage will disqualify (wreck) the current car and have you start over?
Also the game doesn't care in which direction you are facing when parking. Not a problem per se as there's challenge enough, but the "parallel parking" in the game title suggests the car should be facing correctly as well.
Great entry both in execution and gameconcept!