What can cause a fast heart rate, high blood pressure especially diastolic, nervousness and headaches? On bp, depression and anxiety meds.

Antidepressants. Antidepressants, to varying degrees, can have sympathomimetic properties, particularly the snri's (effexor, cymbalta, (duloxetine) pristiq) and maoi's. The risks and benefits should be weighed.
Anxiety and others. Anxiety is at the top of the list of potential causes here some BP meds, especially that dilate arteries strongly, can cause reactive fast pulse and jittery/nervous feeling. Hyperthyroidism can cause this cluster of findings as well. Finally, you will find "pheochromocytoma" if you google these symptoms and yes it can mimic the above things, but is hardly ever found--speak to your doctor about it.