As I cannot examine you, I also cannot provide you with a specific diagnosis.
In general, it may take several months for thyroid hormone medication to relieve the the fatigue and malaise from hypothyroidism. Also, while I cannot say that your skin changes are due to your hypothyroidism, skin manifestations are very common with hypothyroidism.
As for your swollen lymph nodes, if they persist (and particularly if they are continuing to enlarge), then a biopsy may be requried to exclude the diagnosis of lymphoma (or other causes of chronic lymph node enlargement).
Sincerely/ Robert A. Wascher, MD, FACS
www.doctorwascher.com
www.oncoguard.com