
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)

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)

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)

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)

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)

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)

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: 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 Fry starts watching one of his old videos, all the objects that were on the floor in the previous shot disappear. (00:10:55)

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)

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: When we first see the team sitting round the table, Bender is sitting next to Leela. As the egg is burst with the syringe, we should see Bender in shot, but he isn't there. (00:01:45)

Continuity mistake: Right at the beginning when Leela is opening Nibbler's food, there is no pipe connecting to the microwave, yet when Bender is attacked there is a pipe. (00:00:55)

I, Roommate - S1-E3
Continuity mistake: When Bender goes back to his closet alone, the chain hanging beside the light bulb disappears after he closes the door. (00:15:50)

Continuity mistake: When the vet is examining Nibbler, there is a table next to the operating table right in the first shot, but when the shot changes it is no longer there. (00:02:15)

Continuity mistake: When Hermes first brings in the package of lugnuts the address is on two lines, the "To:" and "Chapek 9", but after that shot the address is all on one single line, - "To: Chapek 9". (00:04:35)

Continuity mistake: When Fry, Leela and Bender are in the mutant village they walk past a building which has the sign on it "Dry Cleaners." However, when the shot cuts to the close up, it has suddenly changes to just "Cleaners." (00:15:40)

Continuity mistake: At Fry's celebratory party, he and Bender are smoking cigars. Fry's cigar is smoking, but Bender's is not. (00:06:30)
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]