Can Serous inflammation on pleura pulmonalis cause dry cough and runny nouse?
If serous inflammation produces a large amount of serous fluid this leads to lung compression and limitation of respiratory movement. This, as you said produces dry cough by means of reflex arch.

However lung compression leads to alveolar collapse or atelectasis through pleural effusion. After atelectasis, pneumonia can develop quickly as a complication.

And nasal congestion is a symptom of pneumonia. Also if pneumonia develops, the cough, initially dry and reflex, will turn to cough with mucus expectoration.

Cough stimulates nasal congestion when it brings up mucus from the lungs and extends the alveolar inflammation up to the nose by taking and concentrating all the bacteria in the upper airway (pharynx and larynx bacteria gets in the nasal sinuses) - and in case of bacterial pneumonia mucus also contains the etiologic agent of that pneumonia (so not only from the upper airway).