Revealing mistake: In the first shot of Luke riding on Hoth, the tauntaun leaves no tracks in the snow. (00:02:50)
Revealing mistake: When Luke is talking to Han over the comlink, there's a shot of Han riding a tauntaun. The animal leaves no tracks in the snow. (00:03:35)
Visible crew/equipment: When the Wampa (ice creature) kills Luke's Tauntaun, the end of the "glove" used as the Wampa's arm can be seen in the bottom left corner, as well as the arm of the crew member wearing it. Widescreen only. Note that this has been fixed on the 2011 Blu-ray release. (00:03:55)
Continuity mistake: When Luke is first attacked by the wampa (ice creature), the amount of blood on him changes between shots. (00:04:00)
Continuity mistake: The Wampa changes when we see it again in the ice cave. Its fur is less fluffy and its horns are bigger. (00:04:00 - 00:08:45)
Continuity mistake: When Han first walks into the command center on Hoth, there's a shot of Leia looking at him. The shot has been flipped. This can be seen, for example, from that the men on either side of her have switched sides. (00:04:50)
Continuity mistake: When Han and Leia are bickering in the corridor on Hoth, Han says, " Well, the bounty hunter we ran into on Ord Mantell changed my mind." In the next shot, behind them, there's a man walking past them that wasn't there in the previous shot. (00:05:55)
Continuity mistake: When Luke is hanging upside down from the roof of the ice creature's cave, his legs are apart. But in the close-up of his feet, his legs are together. (00:08:40)
Audio problem: In the Special edition, after Luke frees himself from the cave in the beginning, he stumbles towards the exit. You can hear his lightsaber go off, but it stays firmly on. Cut to him emerging, and now his lightsaber's off. (00:09:30)
Continuity mistake: Special Edition: Luke cuts off the Wampa's arm at the shoulder, but the limb seen hitting the cavern floor is way too short to be the entire arm. (00:09:30)
Continuity mistake: When Luke is attacked by the ice creature all the scars are on the right side of his face, but right before he talks to Obi-Wan you see a big scar on the left side of his face, then when he talks to Obi-Wan you can see there are no scars on the left side of his face. (00:11:00 - 00:13:05)
Revealing mistake: After Luke escapes from the snow monster, he collapses, and there's a shot of Han riding. When the camera pans down, there are no tracks in the snow where the tauntaun just ran. (00:11:00)
Continuity mistake: As Major Derlin and another Rebel officer talk before the shield doors are closed, another officer walks under the starship Leia's standing by. In the next shot, he's gone. (00:11:30)
Audio problem: At the beginning, when they close the door of the hangar, it makes no sound on the first shot. (00:11:45)
Continuity mistake: On Hoth, the hangar's door starts closing twice. (00:11:45)
Continuity mistake: At the rebel base, Leia is informed that there is nothing more can do about Han and Luke until the morning and agrees to the hangar doors being closed. In the wide shot, you can see the doors starting to close, although the code hasn't been put in yet. In the next shot the code is put in and the doors start closing again. (00:12:10)
Continuity mistake: When Luke is lying in the snow after escaping from the Wampa, his gun holster is on the left hand side, but when Han finds him, the holster is now on the right hand side. (00:13:00)
Continuity mistake: When Ben appears to the injured Luke (on Hoth), Luke is reaching out with his left hand calling, "Ben. Ben." As Han appears, Luke is found with his right arm reaching out. (00:13:35)
Continuity mistake: When Han is trying to keep Luke warm, his rank insignia badge alternates between being on the right and left side of his chest. The amount of snow on Han and Luke's clothes also changes repeatedly, especially Luke's. (00:14:15)
Visible crew/equipment: When the Snow Speeders are looking for Luke and Han, you can see the blue screen reflected on the angled side of the pilots' goggles. (00:16:00)
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