The psychologist assigns Hype to the laboratory. He is next seen working it the shoe shop.
When the warden's letter of resignation is shown, it's addressed to "The Honorable Governor Strang" in Albany. The letter is dated June 1932, Franklin D. Roosevelt (soon to be elected President) was Governor from 1929-1933.
Another film where a silencer is shown being used on a revolver. Silencers (or suppressors) are useless with revolvers because of the gap between the cylinder and the barrel of the gun from which the sound of the pistol firing issues unimpeded.
When Tommy Connors first arrives at the front gates of Sing Sing, he gets out of the car and is immediately surrounded by press and fans, some of them hugging him. This would never have been allowed as someone could have slipped him a weapon.
When the warden receives the telegram for Connors describing Fay's condition, the name is spelled "Conners".