AST/ALT may be elevated by training and/or sore muscles. Best to back off for lab work.
Cholesterol looks good, but total cholesterol may be getting too low that can affect hormones and general health.
Thyroid: T3, T4 are below midrange.
Have you been using iodized salt and/or vitamins that list iodine+selenium?
fT3 is near midrange which should support good body temperatures, please check as per the thyroid basics sticky and we will see if all is well.
So you are on thyroid meds? "Thyroxine for Hypothyroidism"
Labs then look like things are reasonably controlled. Body temps can indicate where you are and drive dose refinements. You still need iodine in your diet. As you are "feeling" low, these factors need to be considered as possible issues along side your low T.
Not trolling: Not using iodized salt can cause hypothyroidism and then high TSH can lead to nodules that can progress to hyperthyroidism. And a lack of selenium along the progression can lead to thyroid autoimmune diseases.
E2=10.2 is consistent with your low FT
FT and TT are consistent with LH/FSH
SHBG is insanely high relative to E2
Low FT can increase SHBG, but does not explain this.
So liver is of interest and AST/ALT were not low, but certainly do not suggest any pathology.
Any OTC or Rx medications, exposure to chemicals/pollution?
In any case, you are secondary and E2 is not the cause.
When a younger guy is secondary, prolactin should be tested. If elevated, this can be from a prolactin secreting pituitary adinoma. If that happens and ignored, can become large and press on optic nerves when a loss of width of peripheral vision can occur. All of that can be easily managed with 0.5mg/week Dostinex/cabergoline. If prolactin is elevated, pituitary should be imaged with MRI. Sometimes a non prolactin adinoma can occur that a MRI can image. And pituitary can be damages by blow[s] to the head and the timeline of any of those relative to when problems are perceived to have started is important.
Some guys in your age group simply have unexplained collapse of their hormones. The options then are hCG only which works well with many younger males. Otherwise TRT with T+hCG.
Fixing your T status will greatly improve your quality of life [QOL]. Look to see if thyroid needs any fine tuning. You will need to watch SHBG and should track TT, FT and SHBG until you see how these are moving together.
Most of the above considerations are in the suggested stickies.