Morning fatigue, chest tightness, heart palpitations, heavy breathing, etc are all closely linked with lifestyle parameters: breathing route (nasal or mouth) during sleep and sleeping positions.
For solutions of problems with nasal breathing (taping is one), it is a smart first step to know about hundreds (!) of abnormal physiological and biochemical reactions that take place during oral breathing (i.e., when you wake up with dry mouth). This medical research in compiled here: http://www.normalbreathing.com/index-nasal.php
In particular, we cannot utilize our own nitric oxide synthesized in the sinuses. (Nitric oxide is a hormone produced in the body from arginine, or from nitroglycerine, used to prevent heart attacks).
In relation to ideal sleeping positions, about 90% internet sources advise supine sleep (or sleeping on one's back), which is the LEADING CAUSE OF MORTALITY in heart patients (sick people are most likely to die during early morning hours: 4-7 am). Internet Lies About Ideal Sleeping Positions:
http://www.normalbreathing.com/article-internet-lies-ideal-sleeping-positions...
For Ideal Sleeping Postures visit:
http://www.normalbreathing.com/l-6-proper-sleeping-posture.php