Given that you have had eosinophilic pneumonia, it is conceivable that you might also have eosinophilic chronic rhinosinusitis a subcategory of which is allergic fungal sinusitis. It is also possible that your inflamed sinuses became vulnerable to infection and have become secondarily infected with methicillin-resistant staphylococcus aureus (MRSA) and Pseudomonas. You might want to ask your ENT if the surgical sinus specimens were sent to pathology and, if so, what did they show that might even hint at eosinophilic infiltration. You should also ask if material from your sinuses was ever cultured for fungi, the most common one in this circumstance being Aspergilla.
It is also worth noting that the sinus tissue IgE profile is more specific than the systemic profile in determining the allergic status of people with allergic fungal sinusitis.
It would also be important for your doctors to confirm that the eosinophilic pneumonitis remains controlled with the Advair® HFA (fluticasone propionate and salmeterol) Inhalation Aerosol and to advise them of what you describe as, “...my lungs don’t seem happy with daily use of Advair.”
It might be useful for you to seek consultation with a university hospital medical center immunologist to pursue the above possibility.
Good luck.