The pinball machine shown in season five is a 1958 Gottlieb Roto Pool. The machine has "bulb" scoring; score numbers are printed on the glass and they are illuminated by lights that are behind them. This machine is period-correct and does not have LED scoring.
During the monologue on "The Gordon Ford Show", the host mentions that Clark Gable has just died. However, this episode takes place in 1961 (shown on-screen at 04:38), sometime near Christmas (references throughout the episode to xmas trees and Santa), and Gable died in November 16, 1960, over a year before the episode takes place.