Abnormally high and heavy resting heart rate at all times. Normally I would feel stressed due to studies but suffer from constipation also, any link?

Stress. The link could be your stress. It can often cause constipation in otherwise healthy people, and can also increase heart rate and blood pressure. The 'heavy' heart beat may be a sensation of high blood pressure.
Needs evaluation. If indeed ones heart rate is abnormally high at rest, it merits a careful evaluation. Hyperthyroidism and dysautonomia (autonomic nervous system dysfunction) are just two of multiple possible causes of this symptom. One should see his doctor for an appropriate exam and testing.