Will something different show up in blood work for hashimoto v hypothyroidism?

TPOs. Your thyroid antibodies will be elevated. Autoimmune problems can be a sign your body is toxic from environmental poisons or even food sensitivity such as gluten. Detox and cleanse enough and your immune system may reset itself. Also selenium may help.
Maybe. Hashimoto's disease is classically manifested with positive anti thyroid antibodies, usually anti thyroid peroxidase and to a lesser extent, anti thyroglobulin. On the other hand, hypothyroidism is defined by high TSH and/or low t4. If they one thing in common, that will be high or high normal tsh.