Billy is rescued at night (outside shots show the building at night), then there's a shot of the Tate house in full daylight, then cuts to the scene inside, showing Jessica, Corrine, & Eunice waiting for them, and it's dark outside the windows. When Billy and everyone come in, it's also dark outside.
Burt and Saul beam to Mexico in 1850. They find themselves about to be shot by firing squad along with two revolutionaries. But the revolutionaries are wearing bandoliers with fixed ammunition loops. The first pistols using fixed ammunition were Smith and Wesson revolvers firing .22 rimfire rounds in 1857. The first rifles using fixed ammunition were Spencer repeating rifles firing .56 rimfire rounds in 1860. Before those years weapons were either loaded with powder flasks and loose ball and caps, or with paper cartridges (with the cartridge torn open and the now exposed powder being poured into the firearm followed by the ball and placement of the cap on the nipple). Accordingly in 1850, paper cartridges would have been carried in a cartridge box (either placed on a waist belt or slung over the shoulder) which would have protected the cartridge from being inadvertently torn open until intended use. Cartridge bandoliers were not created until after the advent of fixed ammunition and would have evolved in the late 19th Century. Therefore, the image of these revolutionaries are not those of 1850 but more of those of the 1910's.