Upon arrival in Miami Patrick Jane rents a Cadillac DeVille convertible. The Cadillac is shown with a Florida registration tag on the front bumper, but Florida does not require a tag on the front end of a a car. In fact, the Cadillac DeVille convertible looks to be a 1968 model, which would qualify for a Florida "Antique" tag rather than a regular registration tag.
At the trailer park, Lisbon is wearing regular leather shoes. In the following scene when she and Jane are walking on the beach, she is wearing flip-flops. The characters were expected to be in Miami overnight and it is not unreasonable for Lisbon to have packed an extra pair of non-work shoes.
In the opening scene in which Jane and Cho first see the body face down in the pool, the square board that supports the knife can be seen through the victim's shirt.
In the background, when Jane and Lisbon are supposedly in Florida, you can see the high mountains that are really in Southern California.
At the beginning when they meet the Police Chief the actor playing him apparently mispronounces his character's name. His name tag shows his name as Muller, but when he says it, he pronounces it as "Myewller". If it were pronounced that way, it should be spelled as Müller or Mueller.