Other mistake: When Phoebe and Ross are at JFK, some of the people who are at that airport are the same people who are also at Newark. It's particularly funny to see the people behind Ross and Phoebe at JFK when Phoebe claims they're on their honeymoon, and when it cuts to Rachel at Newark as she's looking for her boarding pass, those same people are there too.
Other mistake: The photo in Rachel's passport at the airport is not of her. (00:29:45)
The One Where Joey Speaks French - S10-E13
Other mistake: When Chandler, Monica and Erika arrive back at the apartment after sightseeing, Chandler enters the apartment from the left (past where their apartment door is) rather than from the right, as if he came up the stairs. He obviously is entering from the stage and didn't take the time or cue to appear to enter from the direction of the stairs.
Other mistake: When Joey sat in the paint the first time, there was a mark, but the second time, it didn't leave a mark.
The One With Ross's Tan - S10-E3
Other mistake: Chandler asks Monica "are you trying to do a British accent?" after she does an impression of Amanda. In the next shot, you see Chandler mouthing the line again.
The One With The Home Study - S10-E7
Other mistake: In the opening scene Chandler smiles at Ross' joke while playing with the ball in his hands. Later on in the scene Ross cracks another joke and the exact same scene of Chandler smiling and fiddling with the ball is repeated. (00:00:40 - 00:01:10)
Other mistake: When Rachel attempts to board the plane the first time, the man at the desk looks at her passport upside down.
The One Where Joey Speaks French - S10-E13
Other mistake: When Joey auditions near the end and Phoebe steps in to explain to the producer/audition guy, she speaks French and the subtitles say, 'He is a little bit retarted' instead of 'He is a little bit retarded.' (00:18:35)
The One Where Rachel's Sister Babysits - S10-E5
Other mistake: Jennifer Aniston's tan mark from her wedding ring is especially visible in this episode. Most notably when she says "But Erin Brockovich had her own house."
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.