After Turner and Alex sleep together at his home, the newspaper that she's reading jumps from her hands to the tabletop several times between shots.
The taxi driver tells Alex that it is Thursday November 28, 1986. However, November 28, 1986 was a Friday.
The beat-up-but-running Chevrolet Bel-Air convertible that Jeff Bridges's Turner Kendall drives is a 1955 model, not 1956.