Search Results: calling it off with a girl

So my boyfriend had said something that concerned me, even though I ended up asking him about it once I heard what he said. He has a female friend who I'm pretty sure likes him, but he's told me time and again he didn't like her and they've never dated even though they've known eachother for years. I've never met her.. When we broke up for a month, they had hung out twice. Then we got back together, and she ended up calling him one day, telling him she had to cancel a work trip and potentially was very sick, waiting on results from the doctor. I guess she's on and off always had something wrong with her health wise. Anyways so they're talking about that, and I'm in the room.. My boyfriend then brings something up about her sitting on her bed, and this webcam site they went on where you chat with random people. He then tells her he's there for her and that they should grab lunch. (Note: he knew how I felt uneasy about this girl) when they hang up, I ask him what was up with that comment. He says he was talking about how she used to be sick and she was always in her bed talking to people on there, but said that they only ever hung out in her living room.

my confusion is, if that's true then how come he brought up her sitting on her bed, unless maybe he was reminding her of the website they had gone on and the way to jog her memory was telling her it had been the one she told him she used to go on as well when she was sick.. basically I just want to know though how likely it is that my boyfriend would bring up something that was inappropriate since I was in the room and before the call he knew I wasn't fond of this friend?

My boyfriend and this girl he just met we’re texting and when he showed me their messages I see them going back and forth with this banter about how she’s older than him to which he replies with how he’s taller and so forth then he ends with well you’re fatter. The girl isn’t really fat and he usually uses that type of funny joke with me like constantly calling me fatty and stuff like that bc he says I eat a lot. Was he flirting with her? I could tell from the rest of the messages that she was looking for his attention trying to get him to compliment her bc she’s “short” but other than that I didn’t see anything else. He says he wasn’t trying to flirt and he cut off contact with her bc I didn’t like her and I could tell she was trying to get gain something else other than friendship. Do you think that was flirting?