That's great (your oxygen levels). My oxygen was around 80 pretty much constantly dipping lower when walking or doing things when they put me on oxygen. It went down to the 30s on 6 liters of oxygen before I was hospitalized to be put on 30 liters before my TP.
However, your shortness of breath could be because of the pneumonia. I would ask the pulmonologist about it. My doctor has told me that you have to be your own advocate and don't stop until you get the answers you need.