Some symptoms can apply to either/both hyper and hypo, so it's important to your specific symptoms.
Second, are you on a thyroid replacement medication, already? If so, what medication(s) and dosage(s) are you on? What was your original diagnosis? If you take a replacement thyroid hormone, had you taken it prior to any/all of the labs?
As for TSH, it can be affected by a lot of different things, other than thyroid hormones, so no, basically, it doesn't matter that it fluctuates, but it's interesting that it jumped from barely measurable to the upper part of its range.
What was the reference range for the Free T4? Ranges vary from lab to lab so they have to come from your own report. What were the actual T4 and T3 results on the second set of labs and were they Free T4 and Free T3 or were they Total T4 and Total T3? Tests for Free and Total T4 and T3 aren't the same and don't provide the same information. Did your doctor indicate why s/he didn't order a Free T3 test?
I'm sorry to ask so many questions, but we can give a more educated assessment, with further information.