Those symptoms are consistent with hypothyroidism. Your B12 is adequate. Your ferritin is way too low. Ferritin is important for conversion of T4 to T3. You need to supplement to get it to at least 100. A goo source is a CVS generic called Iron plus C. I would start with one tablet for several weeks and then add a second. If this causes constipation, then add lots of Vitamin C as needed.
It is very important that you get tested for Free T3 each time you go for thyroid tests. Free t3 largely regulates metabolism throughout our bodies. Typically patients on T4 med have trouble getting their T4 converted to T3 and their Free T3 is too low. Vitamin D is also very important for its effect on thyroid. If you can get those tested we can advise further on med changes needed to relieve hypo symptoms.
If you want to confirm what I have said, have a look at my paper in the following link. If the doctor resists doing those tests and considering treating you with T3 med as needed to relieve symptoms then give the doctor a copy.
https://thyroiduk.org/further-reading/managing-the-total-thyroid-process/
Why do you think it is thyroxine causing the problem? What is your dosage? Also, please post your thyroid related test results and reference ranges shown on the lab report. What other symptoms do you have?
Another important issue is that you should delay your morning dose of thyroid med until after the blood drw for thyroid related tests, in order to avoid false high results. Do you think you can get the additional tests done? Also, I need to know if you have any of these additional symptoms.
Fatigue
Increased sensitivity to cold
Constipation (have to use laxative)
Dry skin (have to use skin creme)
Weight gain (difficulty losing weight)
Puffy face
Hoarseness
Muscle weakness
Elevated blood cholesterol level
Muscle aches, tenderness and stiffness
Pain, stiffness or swelling in your joints
Heavier than normal or irregular menstrual periods
Thinning hair
Slowed heart rate
Depression
Impaired memory