The elegant car that Nick and Nora ride out to Col. MacFay's estate in is a 1935 Lincoln. These were an expensive, low-production car, with only about 1,400 made that year. The major movie studios kept a number of expensive cars around for executive purposes, and they often did double duty as props as required in production.
The placard outside the West Indies Club advertised the dance team as René y Estela, but the opening credits anglicized it as Renee and Stella. They were real headliners at New York's Havana-Madrid Club.