Sounds like E2 increased. Transdermal T has highest T–>E2 potential, highest cost. Injected is least cost and least T–>E2 potential.
Some with thyroid problems do not absorb T very well or do briefly. Doctors are not aware of this problem.
TSH should be closer to 1.0
The lab ranges are bogus.
Have you not been using iodized salt to support your thyroid function?
Please check oral body temperatures as per the thyroid basics sticky to eval your overall thyroid function.