When Tom Destry shows off his shooting skills at the saloon, he shoots off all the silver ornaments located at the tips of the star from the money wheel (56:41). However, at the final shoot-out scene in the saloon, the money wheel seems to have at least some of the silver ornaments still intact.
In the bar just before the shoot out Destry throws a tray off the balcony. Everyone sitting runs to the door to escape. However in the very next scene they are all still sitting and start to run again.
When Destry shoots the 12 silver ornaments from the tips of the star on the wheel of chance, no bullet holes can be seen on the red board the star is mounted on.
In the bar scene where Brandy is singing "Empty Arms", one of the lines is, "Do you hear me, Dad" addressing one of the male admirers. The slang use of "Dad" (similar to "dude", "bro", etc) came into usage in the 1950's, at least 70 years after the setting of the movie, but the movie was made in 1954 when the saying was popular.