Yoram says that Luxemburg won the Eurovision three times. In fact, up until April 11th 1983 (the airing date of the episode) Luxemburg won four times, and won for the fifth time roughly two weeks after this episode was aired in the Israeli TV.
During the chess game, Eviatar claims the move he has just made was made in the match of Bobby Fischer vs. Tigran Petrosian in 1972. Actually, the game in question took place in 1971.