What you are describing could be several different things, but it is most likely related to Eustachian tube dysfunction, which is the tube that runs from the middle ear space to drain the ear to the back of the nose. However, I would see your physician who might refer you to an ENT for further evaluation and treatment.
Do you also get tinnitus , I have similar symptoms with a dry cough and itchy sore eys .mine is allergies .
Do you used earphones?
No physician's visit yet? I would recommend seeing an ENT Specialist about this.
This could be a number of things.