The information suggests that Richard has allergic rhinitis. It is an allergic reaction to pollen dust and pet dander. All symptoms, including sneezing and rhinorhea, as well as postnasal draining are indicative of allergic rhinitis.
Richard touched the bridge of his nostril with his fingertips during the examination. He complained that he had not seen any improvement in his symptoms after taking Mucinex. This suggests that his nasal problems are affecting his quality of living. An allergic reaction is confirmed by the presence of a pale and thick nasal mucosa that produces clear, thin secretions. Also, there are enlarged nasal tubes.
Although his throat may appear mildly erythematous and his lungs seem clear, it is possible that his symptoms are confined to the upper respiratory tract.
On the basis of this examination, Richard may need to be referred for further treatment. This could include allergy testing and nasal corticosteroid spray. It may also be beneficial to advise Richard not to expose himself or others to environmental triggers.