First off - I'd like to make clear that although some of us have years of experience in dealing with thyroid conditions, none of us on this forum is an "expert" as in, we're not doctors or medical personnel. We're here because of our experiences of having thyroid conditions.
Next, I'll need more information from you before I can actually answer your question.
Are the T3 and T4, Free T3 and Free T4 or are they Total T3 and Total T4? Tests for Free and Total levels aren't the same and don't provide the same information. It should specify on your lab report, whether they are Free or Total or specifically, if they're Free. If it doesn't specify, then they're presumed to be Total and not as useful.
That said, both your T4 and T3 are lower in the ranges than we'd expect with such a low TSH - typically, when thyroid hormone levels are lower, TSH is higher and when thyroid hormone levels are higher, TSH is lower.
Being underweight doesn't, typically, indicate a hypothyroid issue and dry skin can be caused by a number of things, including, but not limited to dehydration, low levels of certain vitamins, etc.
Are you currently taking any type of replacement thyroid hormone medication(s)? If so, what medication and dosage?
Do you have any other symptoms of hypothyroidism, such as fatigue, constipation, hair loss, dry brittle nails, muscle aches/pains, etc? You can check the following link for a list of symptoms commonly related to hypothyroidism: https://hypothyroidmom.com/300-hypothyroidism-symptoms-yes-really/ Keep in mind that not everyone will have "all" of the symptoms.
If you can answer my first question about the T3 and T4, I can give you a better answer.