Do I invite the piano player and photographer (who will only be photographing the ceremony) to the dinner after? We don't know them personally.
This is the 2nd wedding for both of us and we are only have immediate family and a few close friends. We are having a small dinner after the wedding (not a reception with dancing). The restaurant banquet room seats a max of 60.
And is the piano player at the rehearsal and if so the rehearsal dinner?
Typically you would not invite the photographer to dinner. That could be seen as an attempt to get additional work for nothing. However, if after the wedding ceremony you liked the photographer, they did a good job and they seem to have become part of the group, you can verbally invite them to join you. However, you should also insist they leave the camera in the car. But don't be surprised if the photographer declines your invite. They might be using the early day for either personal time or to run to another job.
Howard Kier, Certified Professional Wedding Photographer