Have you had your adrenals tested at all? Your symptoms could point to adrenal fatigue. The TSH could fall on the same amount of thyroxine if the thyroxine is circulating in your blood and not being adequately taken into the cells. I have been in the same situation where I have taken less thyroxine at a later blood test but had even a lower TSH! I am not a doctor but have researched this subject carefully in my own endeavours to become well. My own personal view is that TSH is a poor guide on its own to thyroxine replacement and my own experience supports this.
Best wishes to you.
You most likely need to see an endocrinologist. Also, consider the possibility that the symptoms are not thyroid related. Make sure you are not getting generic and that you stick with one brand of thyroid treatment. Also, there are 112mcg and 137mcg doses that might be of benefit to you. You likely need a thyroid ultrasound. The phlegm is not likely thyroid and more likely sinus congestion or acid reflux from stomach.