Please check the reference ranges for your FT3 and FT4, particularly, the FT4; it's a very odd range. Your FT levels seem to be way too low in the ranges, especially the FT3, which would certainly produce hypo symptoms, regardless off what the TSH is, since TSH is merely a messenger hormone and neither causes, nor alleviates symptoms.
As far as your diet is concerned, healthy fats are necessary for weight loss and also for proper absorption of the fat soluble vitamins (A, D, E and K). You should begin adding healthful fats in the form of avocado, olive and olive oil, coconut oil, nuts and nut butters, seeds, etc.
Most fruit is chock full of sugar, even though it's "natural" and should be limited to 1-2 small servings/day. For added sweetness, you can use Stevia, which is also natural, but adds no calories and does not spike blood sugar levels... Try adding a variety of beans and other high protein foods to your meals, as protein, along with fiber helps keep you feeling fuller longer.
Vitamin D deficiency can cause many hypo-like symptoms. Vitamin B12 deficiency can cause horrible fatigue/tiredness, plus other symptoms. Iron is necessary for the proper conversion of Free T4 to the active Free T3.
tsh need to be brought under 2
check vitamin d, b12 and serum ferritin levels.