Hi, Your blood pressure increase sounds like a reaction in the blood vessels themselves. Perhaps some blood tests would be appropriate, in particular checking for calcium levels. As your arteries constrict, your pressure is rising and to push the blood through smaller spaces your heart needs to work a bit harder. So the heart rate is understandable and is nowhere near a dangerous level. To put it in perspective, my heart used to happily run at 186 bpm during exercise and the cardiologist had no issues with that. Rather than just give pills, the Doctor should be having many things checked in your blood first which can lead very quickly to the right cause.
If your blood pressure suddenly goes very high--without an obvious explanation like a panic attack--this is called 'Secondary hypertension' and is different from the ordinary 'Primary hypertension' that slowly creeps up on most of us with age.
There are three major blood pressure regulating systems in the body: 1.Baroreceptors (pressure sensors) in several of the large blood vessels near the heart
2. Your kidneys
3. Your adrenal glands
In addition, the thyroid gland can malfunction and cause both an increase in BP and heart rate.
When Secondary Hypertension occurs, each of the regulatory systems should be investigated. Some special tests are required, and sometimes a referral to a hypertension specialist is needed.
As to the increased heart rate, if it is constant, it would be a good idea to see a cardiologist for a workup. He/she will also have some good ideas about what might be behind the increased blood pressure.