My snot smells a little like chlorine? I've had a snotty nose for a few weeks now but recently it has began to smell like chlorine and taste slightly similar too at the back of my throat?

Sinusitis . You have sinusitis and if it's not improving, get on an antibiotic. For whatever reason, it has a chlorine taste, but I don't think that's important. Get rid of the snot! Even try learning to drain them with a saline wash at home.