I had this crap twice this year. Started with a gushing runny nose, when that passed, it was followed by a worsening cough. The coughing every time I tried to lay down was miserable, made me lose a lot of sleep. No sore throat though, which was weird.
Yup. Exactly what happened to me. Lasted several weeks.
Get a nebulizer and use the Frontline doctors saline formula. It will work wonders on your breathing.