Hi,
Welcome to HCM.
Cough with sputum or mucus with runny nose could be due to rhinitis
(allergic or infective),sinusitis,
common cold or may be URTI.
Runny nose is mostly due to viral infection because of low immunity and may be because this viral infection you are having cough.
You must consult to ENT doctor or some GP to get properly diagnosed first as there is cough and fatigue.
Meanwhile,you can take below mentioned symptomatic treatment,
1) Take antibiotics (quinolones like ofloxacin or macrolides like
azithromycin) to prevent super-infection.
2) Take antiallergic drugs like antihistamines (cetrizine or levocetrizine) with mast cell stabilizers(
montelukast) to combact allergic symptoms.
3)Take decongestants like phyenylephrine if you have congestive symptoms in nose or throat.
4) Steroid
nasal spray like rhinocort,flonase or beconase.
5) Nebulisation twice daily with saline or take steam inhalation 2 to 3 times a day.
Regards,