To me, there are a couple of conflicts going on in these chapters and they are really just the same conflicts that dominate the book as a whole. I think there is an internal conflict within Holden and I think there is a conflict between Holden and society.
All of the conflict that appears to be between Holden and people in these chapters is really Holden vs. society in my opinion. When he tries to talk to Faith, the women from Seattle, and the taxi driver, he is trying to act in ways that he finds interesting. But the other people don't really approve.
At the same time, it seems like there's a conflict inside of Holden about whether he really rejects society or not. Otherwise, why would he keep looking for these "phony" interactions instead of just calling Jane?