Continuity mistake: After visiting the funeral parlor, Lee Chandler and his nephew Patrick walk back to the car. Lee puts on his cap with the brand emblem facing right. In the following shots, this brand emblem keeps flipping from one side to the other. (01:09:00)
Factual error: He goes to the shop at night (after 2am) to purchase alcohol when the fire happens. There is nowhere in any of the surrounding areas you can purchase alcohol at that time. Even if he drove to Boston and back (which would take 2 hours not the 30 minutes stated) I still doubt he could purchase alcohol at that time. It's not legal in Massachusetts.
Audio problem: Lee meets his ex, who sobs saying she misses him. From the side angle she is mouthing something, but instead the sound we hear are her cries.
Continuity mistake: Lee arrives at the hospital and his brother raises his hand to wipe out his runny nose. When the angle changes the hand is lowered.
Continuity mistake: When Patrick is having lunch at his mom's, the position of the fork and the amount of food on it is inconsistent between shots.
Continuity mistake: When Young Patrick and lee are fishing, the black rope (hose?) on the right changes positions between shots.