Thyroid, Eosinophilia. Related?

Dear Doctor, I am having Hypothyroidism since 2007 and since then was using Thyronorm 50mcg till 2015 as per homeopathy doctor's advise, continued homeopathy medicine till Dec 2015. We shifted to Pune and Hence I started Ayurvedic medicines from Dec 2015 till date. The blood reports show normal TSH, but T3 has become low. And recently I suffered from severe sinus, asthama, throat infection, I took a lot of medicines and finally it got cured by one Ayurvedic syrup bought from a store. But due to weather changes in Pune, I am getting prone to sinus every alternate day and there is Phlegm (Kapha) always either in head, throat, nose or chest. I am fed up, be it winter, summer, rainy I am always coughing. (I am continuing Ayurvedic medicines from a doctor in Dhankawadi, but I am feeling it is not effectively curing) Kindly can you suggest what else to be followed, are Thyroid and this Eosinophilia related?? I am allergic to dust, pollution and sensitive to cold