The One With Phoebe's Birthday Dinner - S9-E5
Factual error: The restaurant refuses to take anyone's orders until they're all seated, which means that the group is sitting, occupying a table, without earning any revenue for the restaurant. There isn't a restaurant in NYC that would have such a policy, since it basically guarantees that a table becomes a revenue vacuum. (It also makes for very unhappy customers, but that doesn't qualify it as a factual error, since some restaurants might be actually stupid enough to not care about their return customers).
The One With The Blind Dates - S9-E14
Factual error: Monica takes an ovulation test to see if she is still ovulating. The ovulation test only works before you ovulate (usually 24 to 36 hrs), to detect the LH surge that comes before you ovulate. Once you ovulate that surge is gone and the test will not work. (00:08:20)
The One In Barbados, part 1 - S9-E23
Factual error: Ross' computer is a Powerbook G4 which is totally immune to PC only viruses - Chandler opened up an infected email that contained the Anna Kournikova virus. (00:12:45)
The One After Joey And Rachel Kiss - S10-E1
Factual error: There is an impossibility with the hotel rooms in Barbados. Ross gets from Monica and Chandler's room to Rachel's room far too quickly for it to be real. Also, when the camera moves between rooms (cutting through the wall), you can see that both Rachel and Ross' rooms are too long. If the walls were where they actually are, they would edge through into Monica and Chandler's room. (00:05:05)
The One After Joey And Rachel Kiss - S10-E1
Factual error: The main part of the episode is played out in Chandler & Monica's hotel room (which is situated in between Rachel's and Ross's rooms). The window is opposite the audience and the door on the right. However whenever we see inside Ross's hotel room, he has a window opposite the audience as well. This is impossible as this should be where the hallway is to get to the main door to Chandler & Monica's room. Also, throughout the episode Monica, Chandler & Phoebe all listen through the walls (on either side of their room) to what the other friends are saying, meaning there must be no gap between Ross's and Chandler & Monica's rooms- making the window in his room geographically impossible.
The One Where Ross Is Fine - S10-E2
Factual error: If Ross really was holding the sizzling fajitas like that for as long as he was without any gloves, he would be in the emergency room.
Factual error: When Rachel is boarding the plane to Paris, the plane's right hand side is being used for boarding. However in all airlines all over the world, they always use the left side for boarding. The right side is a 'service' side.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.