Factual error: At the graduation, the MP's are wearing the National Defense Service Medal. This is authorized for active duty during times when "national emergency" has been declared during times of conflict. It was awarded for service during the Vietnam war, ending in 1974, and not awarded again until the Gulf War in 1990. To wear it, the women would have had to been in the service in 1974, which would mean they've got at least 6 years of service by the time the movie came out. On their class A uniforms, they aren't wearing any service stripes, meaning they've been in for less than 3 years.
Visible crew/equipment: At the prison camp, during the action, watch the green barrels by the side of a building. For a brief second, you can see a camera person.
Factual error: The Czechoslovakian Border Guards are armed with what appears to be an Uzi submachine gun fitted with a stock. Soviet Bloc countries didn't use foreign firearms. The guards would have had Vz 58's which are visually identical to AK-47's.
Revealing mistake: When Bill Murray and Harold Ramis are whipped into the rope snare traps there are huge gaps in the ropes between Harold Ramis' feet that would make it impossible for the trap to secure him.
Continuity mistake: During the mud wrestling scene, a patch of mud alternately appears and disappears on the stomach of the woman in the white bikini.
Other mistake: During the graduation scene, if you watch as the platoons are marching by, you can see that several members are not in cadence as they should be. This also includes the men walking between the platoons that are supposed to be setting the cadence and they are out of step with the platoon in front and behind them.
Factual error: SFC Hulka was assigned as a Drill Sergeant and is therefore authorized for the Drill Sergeant ID badge which may be worn for the duration of his career. It is missing from his dress uniform in Europe.
Factual error: During basic training, civilian clothes are locked up in a storage room; therefore, none of the troops would have access to them.
Continuity mistake: Oxberger's hair went from a super close buzz cut to much longer when they were introducing themselves, which would have been the same night, to close buzz cut, to longer. It's inconsistent throughout training. It's obvious the scenes were not filmed in order.
Continuity mistake: During the initial issue, Hulka's unit insignia appears, then disappears when he's talking to Bill Murray, depending on the camera angle.
Continuity mistake: At the Bus Station, Luise, MP, was a Spec 5. After that, she was a Spec 4. You can see it on the shoulder rank patch.
Continuity mistake: Early in the movie, the Sean Young character is a Specialist Five (Specialist symbol with one stripe over the top). At graduation and when she was getting off the plane at the end of the film, she was a Spec 4 (just the Specialist symbol).
Factual error: It is highly unlikely that junior enlistees would have clearance or access to a TOP SECRET manual for the Urban Assault Vehicle. Also, the manual shows "WAR DEPARTMENT" on the cover. The correct name since 1947 was the Department of Defense.
Factual error: The German license plate on the car parked at the "Schloss Hotel" starts with the letters "WH." This was reserved for Nazi Wehrmacht Herr (Army) vehicles and was discontinued in 1945. In addition, there is no hyphen (Bindestrich) separating the letters from the numbers. There is also no circular inspection / tax stamp sticker on the plate.
Revealing mistake: The couple make love in the General's bedroom in the US. Later they make love in a German hotel room. The same set is used for both scenes.
Factual error: Stillman's aide is wearing his hat indoors. Soldiers do not wear head gear indoors unless they are armed.
Factual error: Francis "Psycho" points a knife at Winger. Weapons of any kind are absolutely prohibited in basic training. Granted he could've smuggled it in, but it most likely wouldn't make it past the shakedown part when arriving at basic. The Army and Marines prohibit weapons of any kind in basic training.
Factual error: The mortar round which injures Sergeant Hulka isn't realistic. If it was a training round, its explosive would not have been sufficient to knock down the tower (based on where it lands - near the base of the tower) ; if it was an actual high explosive round, everyone within a 25-meter radius (basically all the recruits) would have been killed or seriously wounded by shrapnel.
Continuity mistake: When they're fighting and the two girls (MP's) drive up in the Jeep, you can see the shadow of one of the girls walking in front of the Jeep's headlights, but in the next shot they're just getting out of the Jeep.
Chosen answer: According to the movie's premise and plot, once they (the platoon) impressed the brass at graduation and was assigned to the Germany gig with the "EM-50", Sgt. Hulka would naturally be with them as he was their original commanding officer. Plus, it would be logical to suggest that he would personally assign himself the detail of overseeing his platoon as they were his to begin with.
CCARNI ★
He's assigned as a Drill Sergeant, that is his job. Once he was fully healed he would have been assigned another group of recruits.