The uniforms, besides being anachronistic, don't stay the same throughout the movie. At the beginning, Captain Wyatt wears trousers with Infantry white stripes on them. The "sergeant" (actually Sergeant Major chevrons) and corporal's chevrons are Cavalry yellow. The Captain appears wearing trousers with Cavalry yellow stripes and, shortly afterwards, Artillery red ones. The sergeant and the corporal also appear briefly wearing Artillery red chevrons.
When Captain Quincy Wyatt interrogates a captive Seminole Indian by threatening him with a poisonous snake, you can clearly see that the Indian is safe because there is a protective piece if glass between him and the snake. The snake's reflection is quite visible.
Whilst in the 'swamp' the soundscape includes the 'laugh' of the kookaburra, indigenous only to Australia and New Guinea.
The pistol that Captain Wyatt carries through out the movie looks to be a Colt Peacemaker, a pistol that didn't exist until decades after the Second Seminole war. Although it is possible that an Army officer could have carried a percussion revolver in the Second Seminole War, it would have likely been a Colt Paterson pistol. Definitely different in looks.
In the final scene Captain Quincy Wyatt is turning his back to the sea. After that and while kissing Judy Beckett, she is turning her back to the sea.
The historic Castillo de San Marcos is located in the east coast of Florida, not the west coast as shown in the movie.
When the famous "Wilhelm scream" is used for the part that a man is attacked by an alligator and drawn under water the scream can still be heard while already being under water.
Before the soldier shouts the Wilhelm scream the line towing the alligator underwater can be seen clearly.
In the scene when the soldier shouts the Wilhelm scream a decking at the entrance to and under the water can be seen.
Part of the film is shot in the Fort of San Marcos, in the city of San Agustín, both of Spanish origin. However, they place the Fort inside the Everglades, a place without any strategic value. No military strategist would put that kind of bastion in such a place. In general, the Spanish placed their fortifications and castles in border areas or on the coast, in this case to protect them from English pirates like Hawkins and Drake, or the Dutch Guillermo de la Marck and Laurens de Graff, all real thieves.