Your heart rate
seems to be well within normal limits. As said by your doctor, heart rate increases in illness.
Now, if you feel that the changes in your heart rate is abnormal and that it is disturbing you, you may get an ECG done and probably, a holter monitoring as well to check the heart.
In my opinion, I feel that you are normal and it has nothing to do with your heart. Your symptoms should go away soon.
All the best and wish you good health.