So my eye has thick mucus buildup at the tearduct, is slightly swollen&crust has formed also slight blurred vision.i think it's pink eye but not sure?

A few possibilities: This could be due to allergies, dry eyes, or eye infections. All can start or affect 1 eye first. The treatments are very different. For allergies, zaditor (ketotifen) is a good otc eye medicine. For dry eyes, lubricating tears are necessary. For infection, usually of the eyelids, start with eyelid warm compress and diluted baby shampoo scrubs. You should have a baseline exam with your eye doctor.