Given your description of episodes of rapid heart beat-palpitations (without pain, breathing or walking problems) in the tenth gestational week, it seems likely that you may be experiencing tachycardia during pregnancy.
This condition could be quite common in pregnancy, due to an increased need of the body for oxygen. A higher frequency of heart beats in a pregnant woman could also happen due to the hormonal changes in the body (including the thyroid hormones).
Thus, given the data you provided about your family history of thyroid problems, it might be recommendable that you discuss your tachycardia with your family doctor, who might want to measure your pulse and blood pressure, perform certain laboratory tests of the blood and urine (among which also are thyroid hormones), do an ECG and, only if necessary, refer you to a cardiologist for further investigations.
In addition, the American College of Obstetricians and Gynecologists recommends that pregnant women and women planning to become pregnant should avoid usage of paroxetine.
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