Trask mentions his yacht being trashed in Hurricane Opal but Hurricane Opal never hit Miami, nor Coral Gables - where Trask lived in Florida, nor Goodland, where he was born. Hurricane Opal passed hundreds of miles to the west, and made landfall near Pensacola, Florida; about 600 miles away.
Carter calls a phone number and asks them to track all known locations of a phone number being used by Mr Finch and they comply. In reality, even if this information existed, police wouldn't be able to simply access it without a warrant just by making a phone call.
When Finch takes Reese to the doctor, just as he goes to dump money on the table, you can see the legs of someone leaning against the wall.