When Jed Cooper pulls the lookout Indian down from his perch with a lasso, the Indian is wearing a captured soldier's blue jacket, then when Jed kills the Indian with a knife, the jacket is off one arm. A long sleeve jacket like that cannot just fall off one arm without deliberately removing it.
The Colonel takes over the Captain's command without any orders after he loses his own. The Captain even mentions it once, but is casually dismissed by the Colonel since he is the Captain's superior officer. It has never worked that way in the Army, a superior officer cannot take over a junior officer's command without official orders, and if he tries to, the junior officer and his staff have every right to place the superior officer under arrest, especially if he endangers the entire command (and given that the Colonel has twice lost entire commands, this is not an unrealistic danger).
When Col. Marston falls into the bear trap hole Jed says to him "Killing you won't do you no good". Jed should have said "Killing me won't do you no good".