Continuity mistake: When Fry and Leela discuss his career, as Fry says "But I don't like being a delivery boy", we see Leela has her hands on the table. When it cuts her hands are under the table. (00:05:45)
Continuity mistake: When Dr. Zoidberg walks out of the bathroom, he zips up his shirt, and the zipper is just visible above his buttoned up jacket.After that, it's not seen in this episode or ever again. (00:01:45)
A Big Piece of Garbage - S1-E8
Continuity mistake: Most of the objects on the Mayor's desk disappear (e.g. the photograph, the lamp) when Professor Farnsworth starts to write his plan on it. (00:17:10)
Episode Two: The Series Has Landed - S1-E2
Continuity mistake: When the spaceman is delivering the 'Planet Express' package, the colour of the rocket on the box changes from black to green. The same thing happens to the spaceman when he's picked up by the large bird - the logo on his backpack changes colour. (00:00:30)
Episode Two: The Series Has Landed - S1-E2
Continuity mistake: When Fry and Leela are walking on the planet's surface, they have shadows. When they are next seen, the shadows have disappeared. The shadow inconsistencies happen again later when the buggy's wheel falls off and they try to outrun nightfall. (00:13:55)
I, Roommate - S1-E3
Continuity mistake: When the team are gathered round the table at the beginning of the episode, note their positions when the video screen is turned on. When they see Fry drying his hair, Leela and Bender have each moved up a chair, and Zoidberg has also moved, and seems to have taken half of his previous chair with him. (00:01:20)
I, Roommate - S1-E3
Continuity mistake: When Fry is watching "All My Circuits" for the first time, it shows Calculon screwing a golden nut onto the index finger of a fembot's right hand. In the very next shot, the bolt is on the middle finger of her hand. (00:03:15)
Episode Two: The Series Has Landed - S1-E2
Continuity mistake: When Fry and Leela get on the moon buggy, there are three console operators and a gaffer standing up behind them. When they drive away, the gaffer disappears. (00:10:05)
Continuity mistake: When Bender switches to hard liquor, he takes out a martini in place of his current drink. This martini however is in the previous shot as he notices the setting suns. (00:14:25)
Continuity mistake: When Fry starts watching one of his old videos, all the objects that were on the floor in the previous shot disappear. (00:10:55)
Continuity mistake: When Fry and Leela are standing in the corridor with the portraits of the past Emperors, there are numerous errors. Including the picture of Fry vanishing, as well as blank frames appearing and figures facing the wrong direction. (00:11:50)
I, Roommate - S1-E3
Continuity mistake: When Bender walks into his apartment he pulls a cord which turns on the light, notice the level of this, it's about head height. Then when Fry walks in, the bulb and cord vanish totally from the shot from above. (00:05:40)
Episode Two: The Series Has Landed - S1-E2
Continuity mistake: In the cargo bay, when Fry and Amy say "clear", the address label on the crate is blank. When Amy moves the hoist from atop her head seconds later, the writing reappears.
Continuity mistake: When Fry has a bite of his pizza slice, the pizza slice change size between the shots. (00:20:30)
Continuity mistake: When the everyone is singing and the Devil Robot is taking Bender down in the Lift, we can see that the back of the lift is grated in one close up shot, but in a far away shot it is a solid cube with no grate. (00:18:15)
I, Roommate - S1-E3
Continuity mistake: When Fry and Bender are furnishing their new apartment, Bender drops his cigar on the floor. It's still lit, but no smoke is coming from it even after Fry takes a puff. (00:10:20)
A Big Piece of Garbage - S1-E8
Continuity mistake: When the team first meet the Mayor, the writing on the Mayor's nameplate disappears after it is first seen, and the button on his desk that he pushes wasn't there before. (00:10:35)
Continuity mistake: When Bender starts talking about Clem Johnson at the baseball game, his bottle is empty, but in the next shot it is half full. (00:03:05)
I, Roommate - S1-E3
Continuity mistake: When Leela is complaining to Fry and Bender about being inconsiderate, there is a container on the wall with folders in it. When the couch gets pushed out the door, it's disappeared. (00:03:55)
Continuity mistake: Fry's bottle changes from being in his right to his left hand and the colour also changes when he's listening to the comedian. (00:11:25)
Answer: Yes Leela knew from early on that Fry had feelings for her. They were pretending to be a couple in 'A Flight to Remember' from season 1 and Fry tried to get on dates with Leela ever since. She just didn't show signs of the feelings maybe being mutual before some of the later episodes.
Andreas[DK]