Universal executives wanted Chris Pine's character to lose the beard. Fearing audiences wouldn't recognize him or find him attractive. The director declined.
Stretch hits a dumpster and the driver's airbag deploys on the limo. He later drives the car. The fuel pumps on most newer cars shut down when the airbag deploys, which would prevent the car from going far.
At the end of the movie we can see the car leaking but from the front, unless on a limo, the gas tank is ahead, the leak should be at the back of the vehicle.
When stretch is removing the license plate from the limo and it is stolen, the plate falls to the ground. In a later shot when the limo is being towed, the plate is back on the limo.