The parathyroid website is run by the Norman Parathyroid Center. All three doctors at the Norman Parathyroid Centre are by far the most experienced parathyroid surgeons in the world.
Excerpt from one of their articles: "Hyperparathyroidism: How to Diagnose Hyperparathyroidism"...
"It is classically taught that the diagnosis of hyperparathyroidism requires a high calcium and a high PTH level at the same time. Unfortunately, about 20% of patients will not follow this pattern, with some having normal calcium levels and high PTH (18%), while others have high calcium levels with normal PTH (2%)."
An elevated TSH and low FT4 indicates primary hypothyroidism. Your vitamin D levels are also too low. This deficiency is a common finding with hypothyroidism as well as hyperparathyroidism. In general, lymph nodes become swollen either due to an infection, inflammation, or cancer.
You should always continue to try to find out why you don't feel good. You might take a look at the www.parathyroid.com website that Red_Star quoted from. There's a lot of information there that might help you.
Regarding the thyroid tests -- is that T4 for free T4 or is it total T4? Usually, if it doesn't specify "free", it's total and is considered obsolete and of little value. That said, can you tell us what the reference range was for the T4? You also need to get tested for the biologically active thyroid hormone, Free T3, which is the hormone used by the cells.
Have you had antibody tests to determine if you have Hashimoto's Thyroiditis? The tests you'd need to get are Thyroid Peroxidase Antibodies (TPOab) and Thyroglobulin Antibodies (TGab). Hashimoto's is the most common cause of hypothyroidism in the developed world and can cause increased inflammation.
You might need to find another doctor, if this one won't try to help you.