Suzanne
That is the name of the song that is playing in the background when John is at Betsy's (the waitress) house.
I love Judy Collin's cover of that song. It's written by Leonard Cohen.
After the movie, I had to youtube it and listen to it.
When I was a tween I used to go to the public library and check out albums. I remember checking out a Judy Collin's album and that song was on there and I fell in love with it immediately. Such a beautiful melody and with Judy's vocals it just burned itself in my mind.
When it first started in the movie, I recognized it but not completely because of the male vocal and I only knew the song from Judy's cover.
https://www.youtube.com/watch?v=zL_vhrk4_uM