Your T4 and T3 results are Total T4 and Total T3. Only a small portion of each of those is free of TBG and thus active. Those small portions are called Free T4 and Free T3. Those should always be the ones tested. Free T3 is the biologically active thyroid hormone that largely regulates metabolism.
Your Total T4 is at 24% of its range. Your Total T3 is at 62% of its range. If we assumed that the Totals are representative of the Frees, then it appears that your body is converting extra T4 toT3 in an effort to maintain adequate T3 levels. But you really need to know your FT4 and FT3 to get a better assessment. In addition, Vitamin D affects the response to thyroid, so you need to tet for that. It should be at least 50 ng/ml. B12 is also important. It should be in the upper part of its range. Ferritin is also very important. It is a storage form of iron and should be at least 100. If you are deficient in either of these three you can supplement to optimize.
Even more important than lab tests is an evaluation for symptoms typical of hypothyroidism. Please review the following list and tell us if you have any of these.
Fatigue
Increased sensitivity to cold
Constipation
Dry skin
Weight gain
Puffy face
Hoarseness
Muscle weakness
Elevated blood cholesterol level
Muscle aches, tenderness and stiffness
Pain, stiffness or swelling in your joints
Heavier than normal or irregular menstrual periods
Thinning hair
Slowed heart rate
Depression
Impaired memory
Enlarged thyroid gland (goiter)
There is more to discuss, but first please respond to this post.
When you get those tests done, please let us know the results.