It's mostly indicating of Allergic Rhinitis where patient can have complains with eyes and nose Drink lots of water for the compensation of water loss and beginning with antihistaminics help a lot

Yes, both are interconnected. Since allergy is a systemic disease so no organ is spared, especially the nasal allergy the eyes and throat are also affected. A good control of nasal allergy will also relieve the symptoms in eyes. Kindly share your complete history with the image of the eye so that a clear diagnosis can be reached and further course of action can be decided.