In photo that looks like one of Ann-Margret's publicity glossies of the era, Apple Annie's daughter wears her hair in style from late Fifties-early Sixties - not in a short bob that a fashionable young woman would wear in 1931.
During the police escort to the boat in the last few minutes of the movie, a 1949 Cadillac can be seen in the rear window of the car the governor is riding in on the right side of his head. The movie is set in 1930's
(at around 2h) The orchestra perform their piece for the reception and all the string players are playing "arco" (bowed). However the bass line is distinctly heard as "pizzicato" (plucked). Both the cello and the double bass players should be seen using their fingers to produce the notes and not their bows.
In the scene where Dave the Dude is asked to be godfather to Ann-Margret's first child, Hope Lange's black dress is unzipped in the back when she is on her way up to the door, and then zipped at the end of same scene.