hi, simply it could be due to respiratory tract infection including tracheobronchitis, sinusitis or even pneumonia for whish you should take some antibiotics course like ampi-cloxacin or co-amoxi-clav or roxithromycin, an anti histaminic like levocetrizine and an antipyretics like paracetamol , an expectorant cough syrup like zeet can be added too. but early morning cough with heavyness of chest and breathing difficulty can also be due to cardiac pathology so i suggest you to meet a physician and get your blood pressure measured, Xray chest done and if required then ECG and echocardiography should be done also. thanks and with regard.