In the exterior shots of the airplane, the entry is on the right side of the plane. When Charlie enters the plan in the interior shot, the entry is on the left side.
The murder occurs on the Redondo Beach Pier. Redondo Beach has its own police force. They would be called out, not the LAPD.
The dead victim lying on the ground at the beach can clearly be seen breathing with his tummy moving up and down while he is supposed to have been murdered.