Barb & Gimel hit the nail on the head. You need to find a way to get your FT3 level up.
It takes 4-6 weeks for a med change to really take effect, though some people do start seeing slight improvement sooner. You've only been on the 50 mcg Tirosint for a week, so it needs time to stabilize.
I agree that your FT4 looks good at just above mid range, but your FT3 is too low in its range, and that adding a T3 component could help. If you are tolerating the Tirosint well, you could ask your doctor to add a low dose of T3 med, such as cytomel or generic T3 to the Tirosint, rather than completely changing med. Adding a T3 component usually requires that T4 med be reduced by 25 mcg per every 5 mcg T3 added.
Some people do well on a T4 med with added T3, others require desiccated medication to feel well. You just have to find out what works for you.
Obviously you need to increase your Vitamin D level, preferably well above the midpoint of its range, to be most effective.
Your thyroid tests show that your FT4 is close to the recommended level, which is around the middle of its range. The biggest concern is your Free T3 level. Many members, myself included, report that symptom relief for them required that their FT4 was adjusted to around the middle of its range and FT3 adjusted into the upper third of its range, or as necessary to relieve symptoms.
In your position, with symptoms, I would talk to the doctor about switching your meds to a T4/T3 combo type like Armour Thyroid, or Nature-Throid, in order to add some T3 to your meds and raise your Free T3 level. Then you can gradually increase as necessary to relieve symptoms.
A good thyroid doctor will treat a hypo patient clinically by testing and adjusting Free T3 and free T4 as necessary to relieve symptoms without being constrained by resultant TSH levels. Symptom relief should be all important, not just test results. You can gain some good insight into clinical treatment from this letter written by a good thyroid doctor for patients that he sometimes consults with from a distance. The letter is sent to the PCP of the patient to help guide treatment.
http://hormonerestoration.com/files/ThyroidPMD.pdf
Also, please post your ferritin test result and reference range shown on the lab report. What tests were in the comprehensive panel?