The "Shadow Play" segment is a remake of the "original series" episode of the exact same name which was first aired on May 5, 1961. The 1986 remake holds closely to the plot of the original episode, in which a man on death row claims that he is having a recurring dream and that when he is executed, thus ending the dream, all the people in the dream world will be wiped out of existence.
"Grace Note" takes place in March 1966 and on March 22, 1986.
William Schallert (Father Grant) previously played a policeman in Mr. Bevis (1960) and Father in Twilight Zone: The Movie (1983) while George Petrie (Judge) previously played a driver in In His Image (1963).