hello and welcome to HCM,
You seem to have so many symptoms which all can be finally linked to your nose and sinuses
1. The mucus which is trickling on the back of your throat may be due to an infected sinus problem and you need to meet an ENT who will perform an endoscopy
and also CT of the PNS so that a proper diagnosis and treatment can be initiated.
2. The nose block may be due to causes in the nose and or the sinuses. In either case you need to again meet an ENT who will perform an endoscopy and also CT of the PNS so that a proper diagnosis and treatment can be initiated.
3. If you have a persistent sniff or sneezing
then you need to start anti allergy
medication and practice allergy avoidance and control.
since you have nose block you tend to breath through the mouth which makes your mouth dry and you feel like coughing. Once your nose block is improved then this problem will also be solved
take care and get well soon
Dr Sriram Nathan