Hi Chi Chi, like Babyjane, I am long-term hypothyroid, on Thyroxine (T4) & Liothyronine (T3), but I am not an expert by any means. I agree with Babyjane, your free T4 does look a little low, but I think the TSH would usually be higher if your body needed the gland to produce more thyroxine. Your free T3 result shows you are converting the thyroxine into the active form the body can use & this result is the same as my last free T3 although I have to take Liothyronine to achieve a result above the bottom of the ref range.
If you are on HRT or are oestrogen-dominant in perimenopause, then I think the lowish T4 could be because oestrogen raises thyroid binding globulin, though I am not sure how this works in detail. The endocrine system is horribly complex and the various hormones affect each other, so at times of hormonal upheaval it can be very difficult to know just what is going on.
I also have many of the symptoms you describe (burning feet, easily disoriented, easily exhausted, very dry skin, tinnitus, constipation, poor memory) but all except the last two have only developed since perimenopause began so for me, these seem to be related to gynae hormone deficiency as I am now post-menopause and they have not improved. So, though I don't know where you are as regards menopause, it seems possible that your symptoms could be related to this, though you are right many of them do occur in hypothyroidism too. I think the bloating & puffiness could be down to either gynae hormone issues or thyroid.
I do wonder whether low B12 might account for some of your symptoms though - burning feet, exhaustion, constipation, poor memory, numbness, tinnitus, low mood and apathy, and wonder whether it might be worth asking for this to be checked if you haven't already. I'm so sorry I can't help more - you must be feeling pretty awful with this lot going on. I do hope you manage to get to the bottom of it.