During the joust between Gregor "the Mountain" Clegane and Hugh, they pass each other, the Mountain delivers a glancing blow, and then round the fence to joust again. As Hugh rounds the fence, his lance is conspicuously missing from his hands, only to reappear in the next shot as he lines up for the next (fatal) pass.
When Jon fights off the other three trainees defending Sam, one of them says that he yields, while holding his sword. In the exact next shot, his sword is on the ground several feet away from him, without sufficient time to drop it.
Knights fully armored for jousting weighed close to 200 kg (400 lbs). A man the size of Gregor "the Mountain" Clegane would weigh even more than that. The horses shown in the tournament would simply collapse under such weight. Armored knights (e.g. in Europe) used MUCH larger horses.
After a knight is killed at the tournament, he is seen being easily dragged away by two average sized men. Mounted knights at tournaments wear the heaviest armor. Fully dressed, he should weigh close to 400 lbs (around 200 kg) - not something that can be easily dragged through the sand by just two people.
In Bran's dream, he is about to shoot at a target, when the three-eyed crow flies across. We see in closeup that the forefinger of his shooting glove is twisted under the bowstring, which would spoil the loose.
In his dream, Bran is wearing a shooting glove on his right, or draw, hand, but nothing on his left hand holding the bow. Without any protection on this hand, he stands a very good chance of being hit on the wrist by the bowstring when he looses an arrow. Any archer once experiencing this would never forget to wear some kind of protection on the wrist holding the bow (in the next episode, Theon is shown wearing a heavy gauntlet on this hand while shooting).