Sounds like you are getting hit with the bug we had here last flu season.
Starts with a bad cold for a week or so - wicked sore throat, horrid headache, bit snotty. Generally the worst head cold you ever had.
You start feeling better for a week to ten days after the head cold, think it is all over with, then Wham!, you get hit twice as hard, this time with the aches and chills as well. Then it starts with the coughing...
People who didnt get enough rest with the first head cold part, got the second flu like part much worse than those who took it easy with the head cold. People who didnt rest usually ended up in hospital with pneumonia or even whooping cough.
There was generally no avoiding the second part of this virus if you got the first part. Most people ended up needing antibiotics because the chest infections turned very nasty very quick due to their immune systems being compromised from the first attack.
I had it and so did nearly everyone I know. Nasty stuff.
Get well Northern Hemisphere!