Plot hole: The morning of the final battle, the sun rises behind the mission, silhouetting a sentry. When the ending credits roll, the sun sets behind the mission.
Plot hole: At the start of the final battle, the Mexican artillery is lined up wheel to wheel, and fires the opening salvo. Apparently Newton's third law doesn't apply in Texas, because none of the cannon recoil after firing.
Plot hole: When Travis makes his speech offering the men a chance to leave the Alamo, and opens the Alamo's gates, Bowie and Crockett are about to leave with their men. Yet it is broad daylight and the fort is already surrounded. Where is anyone going to go?