What you relate is complex and a bit confusing. One does not usually refer to pneumonia as "a mass". If there truly is a mass in your son's left lower lobe, then it and the pneumonia are probably related and the mass the factor that predisposed him to pneumonia. And, if there is a mass, the nature of the mass must be determined unless it has gotten smaller with treatment of his pneumonia. If it is the same or larger, bronchoscopy would be the diagnostic procedure of choice.
Lung disease limited to one lobe, in this case the left lower lobe, does not cause a reduction of pulmonary function to 37% of predicted. You should ask the pulmonologist to provide his/her best guess as to the cause of diminished lung function. The medicines he is receiving suggest that he has obstructive lung disease and, assuming that he is relatively young, the most common cause of obstruction to airflow is asthma but there are other causes, including cystic fibrosis (CF). You might also want to ask what type of test was done for CF and the likelihood that it could be falsely negative.
Four to five months is a long time for infectious pneumonia to resolve. You should ask the specialist what type of infection would do this and why it did not resolve more quickly. Finally, you might want to ask, 1) if his might be a non-infectious pneumonia or due to aspiration, and 2) if infection with a fungus is a possibility.
It is not clear why his doctors want to wait until August to get another x-ray. You may want to consider getting a second opinion from another pulmonologist.