When Jules (Yul Brynner) shoots Crane Adams (Clifford David), the bullet
hole is center chest. The next camera shot shows the bullet hole off to the side.
When Jules is shot and killed near the end, he falls face down on the ground. Moments later when the Mexican brings a blanket to cover him, he is lying face up.
In the poker game, Jules (Yul Brynner) deals himself a card. When he flicks the card over, it inadvertently reveals the card to be a 5 of Hearts. When he finally reveals his cards, they are ALL Kings, which in itself is unusual, however part of the story.
After Jules shoots and kills Crane, the water from the "blood" has separated out from the "blood stain" on his shirt. BUT blood does not do this in reality. Blood will leach out and widen the bloodstain, but the water, the plasma, does not separate from the red blood cells. This was obviously some cheap prop, like ketchup, where the vinegar will separate out from the concentrated tomato.
Jules Gaspard d'Estaing (in the stage) passes Matt Weaver (on foot) on the road into town, yet arrives well after Weaver.
One of the Union infantry veterans in the town wears crossed rifles on his kepi. But the cross rifles insignia was not adopted for infantry until after the Civil War. The crossed rifles are what infantry wore during the post Civil War Indian wars. Rather, infantry wore a bugle on their kepis or bummers cap, and as the year is 1865 and as this is a Union infantry veteran from the Civil War, he should be wearing the bugle insignia and not the crossed rifles insignia.
Around 00:19:39, you can see the marking out at the feet of Matt Weaver (Matt Weaver).