Continuity mistake: When Andy has Woody slide down the banister there's a green/white striped rug directly in front of the door, but when the area of the floor in front of the door can be seen from the living room such as when Andy shouts, "Score," the rug is gone, then it reappears when Andy rushes back upstairs to get Molly. (00:02:40)
Continuity mistake: When Buzz is in Sid's sister's room, Woody comes up to it disguised in the Christmas lights. He then leaves them beside the door before he goes in. When they leave the room, the lights are gone. Later the lights return when Woody goes to get them, but there are fewer of them. (00:47:22)
Continuity mistake: The blue blanket in Molly's crib repeatedly vanishes and reappears within the same scenes, such as when the batteries are put back into the baby monitor Woody shouts for everyone to return to their positions, in the overhead shot of the room the blanket's gone, but is soon back in its place.
Continuity mistake: When Rex and Mr. Potato head pop out of the moving box lots of packing foam pops out, yet later when the box spills out in the moving truck there is not any packing foam. (01:09:07)
Deliberate mistake: When Buzz Lightyear demonstrates his "flying" abilities in front of the other toys, his left wing would have clipped the car track entering the loop-de-loop, and the right wing would have hit the track when leaving the loop. (00:18:50)
Continuity mistake: When the army soldiers are yelling into the baby monitor that the kids are heading up to Andy's room, the baby monitor is right in front of Woody on the floor. Yet, when the camera pans out to show all the toys scrambling for their places the monitor is gone, and Hamm is right in front of Woody. Then, when the camera zooms back in to show Woody, the baby monitor has reappeared. (00:12:30)
Continuity mistake: Before the staff meeting, when Woody gets his doodle pad we see the outlet under the crib, but then the outlet vanishes, and reappears later.
Continuity mistake: When Buzz wants to prove that he can fly, he jumps off Andy's bed and ends up on the loop car track, and the three stacked wood blocks (letters A, C, E) suddenly appear in front of the wicker hamper between shots.
Other mistake: It's been mentioned that Sid sets his clock for 8:25 and it goes off at 7:00. Here's some more errors for Sid's crazy clock physics. When Woody is saying "Psst" to Buzz from inside the blue plastic basket, the clock on the wall says 6:25, yet the alarm clock next to Buzz says 6:55. It goes off 5 minutes later and after Sid takes Buzz out of the room, the clock on the wall has changed to 3:10. When Woody is talking to Sid's toys a minute later, the clock now reads 10:00. The maximum amount of time that passed between the already wrong 3:10 and the 10:00 is 5 minutes. You can tell because Sid wanted to launch Buzz strapped to the rocket ASAP and Woody wanted to rescue Buzz from his current strapped-to-a-rocket state very fast. (00:56:45)
Other mistake: At the gas station, right after Woody tells Buzz that he found a space ship, while they're talking under the motor oil display we can see Woody's reflection on Buzz's helmet, but the reflection is not backwards - note the word "oil" and Woody's badge, etc.
Continuity mistake: Before Woody uses the remote control to have RC push Buzz off the desk, there are red, yellow, and blue pushpins in an empty area of the bulletin board, but after RC hits the bulletin board, in the closeup of the pushpins falling off those colors have changed to green, red, and yellow, with the green pushpin remaining in the empty space, but when the bulletin board starts to fall over that green pushpin is gone and it's back to the red, yellow, and blue pushpins.
Factual error: In the scene when Buzz and Woody are at the gas station, Buzz looks up at the moon and talks about Zurg. The reflection of the moon on his helmet looks the same as the moon in the sky, rather than its mirror image.
Continuity mistake: When Buzz and Woody are attempting to enter the truck towards the end, they ride RC and grab a hold of Slinky to help pull them up. RC loses power and Slinky starts to be pulled onto the road. When he touches the floor to stop him falling he actually pushes against the flow of the road. (01:11:50)
Continuity mistake: When RC hits the notice board in Andy's room, quite a lot of thumb tacks fall off it and land beside Buzz, yet there seems to be the same amount of tacks on the board after the incident as there were before. (00:26:55)
Continuity mistake: Buzz, while pushing the tool box off of the blue basket Woody is in, stretches to about 3 times the length he normally could from that position. When he first starts pushing against the window sill with his feet, he stretches out fully a few seconds later, about half the length of Sid's desk. He continues to push the box over and says "Almost there..." before he does and we can see he still has his feet on the window sill. Most people will have to watch it for a better understanding. (00:59:37)
Continuity mistake: When Andy's mom suggests to Andy they go out to eat at Pizza Planet and that Andy can only bring one toy, Woody picks up the magic 8 ball which was next to him and asks if Andy will pick him. If you see in the earlier shots the ball wasn't there. (00:25:50)
Continuity mistake: When Sid is setting the alarm clock, he sets it for about 8:25, when the alarm goes off the next morning, it's actually at 8:00. (00:55:42)
Continuity mistake: The match in Woody's gun holster disappears in the wide shot right before he and Buzz remember the rocket and the match, then it reappears in the closeup when he takes it out of the holster to use. (01:07:25)
Continuity mistake: When Woody and Buzz are at the gas station and the big truck pulls in, Woody falls limp to the ground. The truck pulls over him, and stops with its tires an inch from his head. In fact, the brim of Woody's hat sticks up into the space between the two tires. In the next shot when Woody scrambles out from beneath the tires, his head is directly under the tire to our right. (00:31:40)
Answer: This is a Disney/Pixar production, at no point are they intimating that kind of a relationship between son and father. If anything, the father simply doesn't care what his son gets up to so long as he isn't disturbed by it. Any other inferences you get from the movie are for you to contend with, but the family nature of the movie would suggest beating/abuse is not the answer.
GalahadFairlight