Continuity mistake: When Buford chases Marty, the position of his 3 goons is an absolute mess and changes from shot to shot with no continuity whatsoever: Sometimes they're behind Buford; or two riders on the right and one on the left; or last but not least: all three riding past Marty until a shot later one of them suddenly appears way behind the group.
Continuity mistake: When Buford chases Marty, note the second building after the bar, the Stetson house with a semicircle on the roof. Buford passes by this place at least three times during the chase.
Continuity mistake: When Buford hangs Marty, after Doc arrives watch Buford's horse's position relative to the wooden crate: it keeps increasing/decreasing randomly between shots.
Continuity mistake: When Marty hides from the Native Americans by parking inside a cave, the windshield is covered in dust, but from a brief angle where Marty watches them jumping over the mount, the glass is spotless.
Continuity mistake: Marty encounters the Native Americans and a chief holds a spear horizontally above his head for several shots, but in in the immediate wide angle a frame afterwards, the spear is gone, or a at least no-one is holding one horizontally.
Continuity mistake: When Marty drives in reverse to run away from the Native Americans there's one on the right side ahead of the car. When the angle changes he's disappeared and all of them are behind the car.
Continuity mistake: When Marty is driving toward the cinema screen to go to 1885, after thunderbolts surround the car, in the front shots he looks concentrated and calm, but in a brief shot from the side he is really scared and tense. This swaps back and forth.
Continuity mistake: When Doc gives Marty the picture of them, Marty opens the package and leaves the wrapping paper behind. A shot later, from a a different angle, the paper is all around the picture.
Continuity mistake: When the movie ends, Marty and Jen are blown away. They're either landing on shadowy or sunny grass, depending on the angle. This changes back and forth.
Continuity mistake: When the movie is about to end and Marty and Jennifer walk by the tracks they have a bumper in front. Jennifer says "there's not much left", then the angle changes and the bumper has magically moved behind them.
Continuity mistake: When the movie is about to end, Marty picks up Doc's photo. From the front shot he is grabbing it by the middle, but in the opposite angle he holds it by the lower end.
Continuity mistake: After the breakfast machine dumps the eggs in the pot at the start, the eggshells disappear.
Visible crew/equipment: During the party scene, towards the end when Marty and Doc are discussing the duel and the fact the train may be late, you can briefly see a PA system center left of frame (bass cab with PA head on top and above it 2 tweeters side by side) it would make sense that a PA system be on set during the scenes so the band and dancers had a soundtrack to mime/dance to. (01:01:29)
Continuity mistake: After Marty gets to 1885, a bunch of Indians are running to him and the cavalry behind them, but in the open view one second before, the cavalry was not there.
Continuity mistake: In 1955 while the Doc is recording some stuff, while Marty behind him is sleeping on the couch, his head moves from side to side between shots.
Continuity mistake: After visiting Seamus, Marty walks to the Hill Valley train station where a man is by the ticket window. In the next shot the man has disappeared.
Other mistake: After Mad Dog tries to kill Marty at the bar, a man says "you better run, squirrel." Marty is crouched, 4 meters away from the counter, but in half a second he has managed to stand up, run to the counter, jump on it and run towards Buford.
Deliberate mistake: When Marty drives towards the screen to go back to 1885, he passes by the same 5 speakers over and over again. It's obvious that the road was very short and they repeated the shots from many different angles to add-up for tension.
Continuity mistake: When Marty and Doc are jumping on the logs on the train, the sun changes between shots.
Factual error: After Doc and Marty hijack the train, there are shots of them in the cab of the locomotive. Look closely behind them, there is a clip to hold a microphone for a 2-way radio or CB attached to the window post, which shouldn't be there in 1885.
Answer: He simply has an absurdly low tolerance for alcohol, and whiskey is not a wise choice if this is the case. It helps set up the joke when Marty asks the bartender, "How many has he had?", and he replies by telling Marty, "Just the one", as we are meant to think Doc has been in the bar all night drinking away his sorrows.
Jazetopher