Continuity mistake: When Vader cuts through three poles at the end of the lightsaber duel, there are different poles in the shot where he cuts through them and the next shot where they fall. The poles that are cut have a white color, while the ones that fall are dark grey. (01:45:50)
Continuity mistake: When a one-legged 3PO is standing in the Millennium Falcon, begging R2-D2 to fix him, he is holding the severed leg by the knee, with the foot closest to the floor. Some shots later, he is holding it by the foot, with the knee closest to the ground. (01:59:00)
Continuity mistake: When Vader and Luke are fighting in the carbonite freezing room, before Luke falls into the chamber, you can see the doors of the freezing chamber closed. In the next shot you hear the doors begin to open, but you can see that the doors are already completely open. (01:44:05)
Continuity mistake: When Lando is talking to Han and Leia in the cell in Cloud City, Leia says, "And we're the bait." As the shot ends, her hand is on the nape of Han's neck, but in the next shot, her hand is on his back. (01:29:15)
Continuity mistake: When Han and Leia kiss in the Millennium Falcon, Leia's arms are around Han's head in the wideshot, but not in the close-up. (00:49:55)
Continuity mistake: In one shot while Luke is being trained on Dagobah, look at R2 when Yoda says, "Anger, fear, aggression, the dark side of the force are they." The little projection nozzle that sticks out of R2's head is on the left side of the red light (it's on the right side for the rest of the movie). (01:01:25)
Continuity mistake: During Luke's and Vader's lightsaber duel, Vader says, "Release your anger" and in the next shot their interlocked lightsabers have switched positions. (01:44:50)
Continuity mistake: After Luke first sees Boba Fett in Cloud City, he begins to walk away from the corner he is hiding behind. In the next shot, he is closer to the corner than in the previous shot. This has nothing to do with camera angles - notice the distance between him and the wall to his left. Also, his right arm is in a different position. (01:34:55)
Continuity mistake: When Vader cuts through the three poles at the end of the lightsaber duel, Luke is crouching down next to them. In the next shot, he is standing upright. (01:45:50)
Continuity mistake: Special edition only: Viewed from inside, the hotel where Leia, Han and Chewbacca are in Cloud City has a flat glass roof, but viewed from outside, it is flat with sloped edges. (01:22:25)
Continuity mistake: When Vader is seen in Cloud City, Lando says, "I had no choice, they arrived right before you did" and two of the stormtroopers on the lowest step are standing about a metre apart. In the following close-up of Lando, they are standing so close together that their ankles are touching. This can only be seen in the widescreen version. (01:25:05)
Continuity mistake: In the shot where Luke's hand is cut off, there's a large gash in his shirt on his left shoulder. In the following shots, the gash is much smaller. (01:50:20)
Continuity mistake: After Leia, Han and Chewbacca walk down the stairs in the carbon-freezing chamber, as the shot ends, Han is turning towards a stormtrooper behind him. In the next shot, he is turned in a different direction, and Leia's head is facing another way. The position and existence of some of the people around them changes between the two shots as well. (01:31:10)
Continuity mistake: During the escape from Cloud City, Chewbacca is shooting at the stoormtroopers while R2-D2 tries to open the door. The wall he is hiding behind keeps changing between shots, and the burn mark on the wall also changes a few times, without any laser beams hitting it. (01:47:55)
Continuity mistake: When the Millennium Falcon is approaching Cloud City, Leia's hand is on the top of Han's pilot seat. In some shots, her hand is in the middle of the seat, in other shots, it is right next to the middle. (01:18:35)
Continuity mistake: When a blast rocks the command centre during the battle on Hoth, C-3PO is thrown backwards into Han's arms. As the wideshot leaves, Threepio is leaning backwards, supported by Han, but in the next shot, both of them standing upright in a normal way. Toryn Farr, the woman sitting behind them, has changed position as well. (00:30:40)
Continuity mistake: When Chewbacca is choking Lando, as Leia says, "We don't need any of your help.", Lando is standing on his knees. In the next shot, only his head can be seen, but the position of his head and Chewie's arms shows that he is now standing straight up. In the next shot, he is on his knees again. (01:38:15)
Continuity mistake: After the carbonite block is pulled out of the carbonite freezer, there's a close-up of Leia leaning towards Chewbacca. In the next shot, she is not leaning on him, and then Chewie pulls her towards him again. (01:33:05)
Continuity mistake: When Luke is holding on to the antennae-like assembly underneath Cloud City, right before and after the hatch closes, the distance between a thin pole and his left arm keeps changing between shots. (01:48:25)
Continuity mistake: When Luke is first attacked by the wampa (ice creature), the amount of blood on him changes between shots. (00:04:00)
Answer: Star Wars being for the young and the young at heart, Han and Leia's relationship unfolds in a deliberately childish manner that kids can relate to and adults will find comedic. Leia is irritated at herself for her attraction to Han, and certainly unamused that Han teases her over it, while at the same time he is not brave enough to admit his own feelings, either.
TonyPH