Other mistake: Sgt. Carter is a Gunnery Sgt. yet the show just calls him sgt. The proper address would be "Gunnery Sgt." or "Gunny".
Other mistake: Private Gilbert "Duke" Slater's name is not on the back of his USMC sweatshirt like the other Marines. On the back of sweatshirt is the name Estin HP not Slater G. (00:17:00)
A Date for the Colonel's Daughter - S1-E10
Other mistake: The Colonel has his officer insignia on his shirt collar with a tie during the day while at the office. Later at home, he is in full uniform with tie and jacket, and he doesn't have his officer insignia on his shirt collar. (00:01:00 - 00:11:00)
Sergeant Carter Dates a Pyle - S2-E20
Other mistake: Private Duke Slater's utility uniform shirt is different from the other Marines. Duke's uniform has square pocket flaps with the button exposed, an exposed button front shirt and the sleeves do not have button cuffs. The other Marines' uniforms have tapered pocket flaps with a hidden button, a hidden button front shirt and the sleeves have button cuffs. (00:05:00 - 00:06:00)
Other mistake: Gomer volunteers for a 7 day parachute training. The training is held at a base at Sand Point, which is was an actual base outside of Seattle, WA. Gomer's original base is Camp Henderson, which is suppose to be in Southern California. At last minute, Sgt. Carter drives twice in a jeep to visit Gomer at Sand Point. The drive would have been at least 1300 miles one way. There is no possible way Sgt. Carter could have made the trip twice. (00:14:00)
Friendly Freddy, the Gentleman's Tailor - S4-E30
Other mistake: Gomer and Sargent Carter buy alike suits. They are together in the suits. Gomer doesn't start sneezing until he gets to Lou Ann's apartment and Sargent Carter doesn't start sneezing until Gomer mentioned the suits will make him sneeze. (00:10:33 - 00:18:36)
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.