When Sgt Grant takes the organ transplant guy, she is seen in a 2013 police interceptor utility with only a roof lightbar. Once she arrives at the hospital, she is in a 2016's utility with grille and mirror lights.
The airplane at the beginning is a Cessna Caravan. This aircraft is equipped with a turboprop engine, which makes a whistling like sound. The sound heard on screen is of a piston engine.
The man in the closet is only bound by his wrists. He should have been able to remove the tape from his mouth.
There no way Abby could have called the woman's doctor as she could not know who her doctor was, it is also unlikely she could have reached them that fast.
The dispatcher tells Abby to make a half inch incision but the cut she makes is much closer to two or three inches.