They are totally different. Pink eye is the inflammation of eyes, possibly caused by bacterial or viral infection or allergic reaction. The symptoms of pink eye include increased sensitivity to light, pain in eyes, redness, dryness and grittiness. Sinus infection refers to infection and inflammation of nasal passage and sinus cavity. Sinus infection is usually caused by bacteria, with runny nose, sore throat, bad breath, nasal congestion and thick secretion in nasal cavity. You can see there are many differences of pink eye and sinus infection. Warm compress is a very good home remedy for pink eye caused by bacterial and viral infections. As to sinus infection, you could buy a nose washer over-the-counter to wash the thick secretion. Keeping nasal passage clean and open is helpful for sinus infection.