On the quiz master award, there is not enough room to finish the sentence that begins "For Outstanding Performance..." and the last word of the sentence is gibberish.
Freddy Fillmore announces that they're changing their usual practice for tonight's show--the Ricardos will pick their questions at random from a glass bowl. Ricky and Lucy then join him on stage. Fillmore holds the bowl up and asks Ricky to pick a question. Lucy wasn't present when Fillmore explained the change, but she has to realize that she and Ricky are randomly picking the questions. Therefore, they can't be in the same order she memorized.
The character Frank Nelson plays was seen earlier, in The Quiz Show (1951), however his name is spelled differently. Here, it's Freddy Fillmore ("y" in Freddy, two "l"s in Fillmore); there, it's Freddie Filmore ("ie" in Freddie, one "l" in Filmore).
Lucy calls the "Mr & Mrs Quiz" show to tell them how smart Ricky is; at 7:00 PM it's announced on the air that "tomorrow night" the special guests on the "Mr & Mrs Quiz" program will be Mr and Mrs Ricky Ricardo. The next day, Lucy goes to the studio to meet with the show's host, Freddy Fillmore, ostensibly to request tickets for the show. Later that night the show goes on. Fillmore says [about Ricky's intelligence], "...until his wife told us today..." In fact, she told them yesterday.