The man who plays the masher at the hotel, i.e., the short, bald man who tells Lucy and Ethel that he'll let them in to his room if Eddie won't, is Phil Arnold, who played Harry Henderson just a few episodes earlier, in Lucy Changes Her Mind (1953).
The magazine on the Ricardos' coffee table is the May 1953 issue of "Woman's Home Companion", which featured an interview with Lucille Ball and Desi Arnaz about the recent birth of their son Desi Arnaz Jr.. The same magazine previously appeared in Lucy Hires a Maid (1953) and The Ricardos Change Apartments (1953).
Ricky is reading the May 10, 1953 issue of "American Weekly". This issue contained an article by Lucille Ball entitled "It Happened to Us - The Story of Desi and Me".
The magazines in the hotel lobby include the 1952 one-shot "The Life and Loves of Liz Taylor", the May 1952 issue of "Good Housekeeping", the June 23, 1952 issue of "Life", the August 1952 issue of "Cosmopolitan", the October 1952 issue of "Woman's Home Companion", the February 9, February 16 and April 27, 1953 issues of "Newsweek", the February 14, 1953 issue of "Collier's" and the April 1953 issue of "Vogue".