At the final dinner, when Rosa is talking to Charles, she is leaning back in her chair with her hand flat on the table, then the camera angle changes and suddenly she is leaning forward with her elbow on the table and her hand raised near her face.
Captain Holt wears his Commendation breast bar above his World Trade Center Breast Bar. When the WTC bar is worn, it is worn above all other medals, but below the American Flag bar.
Amy's toast print-off is described as 8 pages printed front and back. The back sides of the pages can be clearly seen and are blank.
When Jake and Holt are in the car, with Jake repeatedly pestering a dilly-dallying Holt to "punch it," and Holt finally does slam on the gas (catching Jake off guard), the cars in the background remain even with their squad. The car was clearly stationary, with only the camera moving quickly to create the illusion of action.
When the squad is discussing disposing of Amy's food down the toilet, Terry is alleged to have flushed the entire turkey, claiming to have eaten the entire thing himself. The turkey carcass he is seen disposing of has been almost completely stripped of meat. If he threw out only the bones as seen, the meat is still unaccounted for.
While busting the bookie's parlor, Jake complains that they are watching "the game," singular, and makes reference to not wanting to see "the score," again singular. There is more than one game being shown on the various televisions.
Jake assumes that the thief in the video was left handed because he grabbed the money with his left hand. People typically favor one hand or another for activities that require fine motor control, such as writing or throwing a ball. Grabbing a baggie of cash could easily be performed with someone's non-dominant hand.
During their discussion of Amy's prepared toast, Jake and Amy describe the toast as being 8 pages, single-spaced, front and back. A page is one side of a piece of paper filled with text. If both sides of 8 pieces of paper are printed, it would be 16 pages, not 8.