Other mistake: Sgt. Carter is a Gunnery Sgt. yet the show just calls him sgt. The proper address would be "Gunnery Sgt." or "Gunny".
Gomer Pyle, U.S.M.C. (1964)
1 other mistake in show generally - chronological order
Starring: Jim Nabors, Frank Sutton, Ronnie Schell
My Buddy, the War Hero - S1-E25
Factual error: Gunnery Sgt Jim Mason "Jimbo" only has rifle marksmanship badge and no pistol marksmanship badge on his uniform. As a Marine senior non-commissioned officer he should have both on his uniform like Gunnery Sgt. Carter. (00:21:00)
Gomer Pyle: Golly.
Trivia: In the episode Sgt. Carter said his old girlfriend Rose Pilchek played by Allison Hayes was Miss. Armor Division of 1961. In real life Allison Hayes won the of Miss. District of Columbia and represented DC in the 1949 Miss America pageant. (00:04:14)
Opie Joins the Marines - S2-E26
Question: How can Andy meet Sergeant Carter here if they met in the pilot episode of Gomer Pyle, USMC?
Answer: There's no indication they were meeting for the first time, in fact they seem to know each other as Sgt. Carter addresses Andy only as "Sheriff". Gomer Pyle just says his two favorite people are "meeting face to face", and obviously in the pilot episode Sgt. Carter wasn't one of Pyle's favorite people yet.
Suggested correction: In the Marine Corps, a Gunnery Sgt. may be referred to as Sgt, Gunnery Sgt, or Gunny. All Sgt's. are just that, Sgt's. Thus, a Staff Sgt, Gunnery Sgt, Master Sgt, Sgt. Major etc, may all be called Sgt's. Though Master Sgt's and Sgt. Majors are often referred to as "Top" and Sgt. Major.
Well, while it is technically correct that an E-5 - E-9 are all types of sergeant, and MIGHT be referred to as Sergeant, it would be really disrespectful to call a GySgt "Sergeant" all the time.