Can sinthetic hormones, norethisterone, clomiphene or chorionic gonadotropin cause TSH disbalance. In only 20 dys my TSH went from 3, 5 to 6, 5 mu/l?

No. Those hormones that you mention should not affect your thyroid function . You might ask your doctor to do a thyroid antibody panel to see if you have autoimmune thyroid disease.