![Fast X picture](/images/titles/15000-15999/15061_sm.jpg)
Other mistake: Dante and The Agency both have extensive photos and videos of the team's previous exploits. Trouble is that most of it is simply stills and footage from the previous movies in the franchise, often occasions when nobody was around with a camera to witness and document what was going on, certainly not at the angles we see.
Answer: It appears so. Nothing else suggested he knew where she worked. More that he was just going to different clubs and drinking and came across the club Alice was working at.
Lummie ★
I think he knew exactly where to find her. He's a doctor and often doctors are known to have that "God" complex. I think he wanted to gain control of his relationship with Anna. To win Anna back he had to manipulate all the players including Alice/ Jane. He probably researched her and found her. That's why he knew Alice/Jane was not her real name. He was low key stalking all of them, to get Anna back.
But Jane actually was Alice's legal name. This is shown at the end of the movie, on her ID. Larry did not believe her when she told him.
At the strip club, Larry does *not* know that her name is legally Jane. He thinks her name is Alice. She is using a stage name at the club, and he wants to hear her say that her name is Alice. He refuses to accept "Jane" as the answer. He is waiting to hear "Alice."