Continuity mistake: When Bodhi Rook is first introduced on Jedha, there is a fallen statue in the sand, first shown lying on its left, but at the end of the scene, the statue is suddenly lying on its right. (00:11:15 - 00:12:15)
Trivia: The planet where Jyn is being transported to the Imperial Labor Camp is called Wobani - an anagram for Obi-Wan. (00:12:20)
Continuity mistake: When Jyn meets Saw, in most shots the hose for his mask is well through the loop on his suit, but in one closeup shot the mask is right up against the hose, then jumps back. (00:40:00)
Continuity mistake: After the facility on Eadu is ambushed by the Rebellion, Krennic is escorted back to his ship and looks back at Galen Erso's body. When he looks over, Galen is shown with his right leg completely straight and his left leg at an angle, but when he is next seen, a few shots later, it is now his left leg completely straight and his right leg at an angle. (01:07:35)
Continuity mistake: When Baze shoots all the Stormtroopers, he begins walking over to Chirrut. Chirrut is seen placing two hands on the top of his staff, and then puts one hand lower down on the staff, holding it with just that hand. In the next shot, he is suddenly holding the staff with both hands. (00:35:55)
Continuity mistake: When Jyn and Cassian are hugging on the beach after the Death Star has fired on Scarif, the first shot from behind Jyn shows her hugging Cassian with one arm, but when the shot cuts to behind Cassian, she is suddenly hugging him with both arms. (02:03:00)
Continuity mistake: At the start when Andoor meets Tivik, Tivik's coat over his shoulders keeps moving between shots - on both shoulders, then on one, then both, etc. (00:10:05)
Trivia: The rebel soldier who disengages the Tantive IV with the lever at the end of the film is the director, Gareth Edwards.
Continuity mistake: When Galen and Krennic are talking at the farm, in some shots the wind is very strong, judging by Krennic's cape and Galen's hair. In others there's virtually no wind at all. This changes immediately between shots, there's no time for the wind to swell or fade. (00:03:30)
Continuity mistake: When the Death Star fires on Scarif, Jyn and Cassian settle down on the beach and Jyn is shown with her back straight whilst she is kneeling, but in the next shot, she is suddenly leaning more forwards. (02:02:25)
Other mistake: When Rogue One's team runs onto the beach after the AT-ACT follows them at the beginning of the scene it shows Stormtroopers walking next to them on the beach, but that's impossible due to the fact that all the AT-ACTs (excluding one who is moving in the water at the background) are still moving through the trees. (01:40:25)
Answer: Princess Leia is not being chased by Vader's ship until after the events of this movie. The entire fleet heads off to Scarif, and she picks up C3PO and R2 off-camera. At the battle on Scarif, we see the mothership get boarded by Darth Vader, and then we see the smaller ship make their escape. That ship contains Princess Leia and the two droids, which is subsequently being chased at the beginning of Episode IV.
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