you can have muscle aches and joint pain from low thyroid. you probable just need more thyroid meds. to get to a better level. and the symtoms do go away as the levels get better. i'd recheck the levels and make the adjustment in your meds.
Sorry, didn't notice that your comment was captioned JOINT pain ! DUH. Joint pain is more commonly caused by hyperthyroidism, but as I said, we can't tell unless you post your labs.
To really comment, we would need to see the lab results your doctor based your diagnosis upon, including the ranges the lab used in testing. The doctor should have tested your TSH, your Free T4, and ideally your Free T3 in order to diagnose you as hypothyroid, and should have re-done your labs after 6 weeks to see how the levothyroxine was working. If you don't have a copy of your labs, you can get them for free from your doctor's office after signing a release form.
Depression can be a symptom of hypothyroidism, but that symptom is more usually relieved by T3, and not as much by T4. Did you notice any relief of the depression ? Do you feel it is your joints that ache, or is it your muscles ?
It's so unfortunate that you lost your insurance, very sorry. If you DO decide to go off your meds, I would suggest cutting them in 1/2 and taking the lower dose for several weeks, then take it every other day for a week or so, and then stop. Otherwise you might suffer hair loss or other hypo symptoms. I'm not a doctor though, and other more experienced members may have a different opinion.
All the best.