The way you post some of your questions is irritating, ostap77. It seems you have posted a short dialogue entitled "possible answer". Do you want people to give you their opinion on its literary value? Or do you want somebody to tell you whether the second sentence is possible? Or perhaps to tell you what are the possible answers to
How have you been during the past week?
Or maybe to
I was sick. But I've been recovering now though I'm still coughind.
It isn't very difficult to post your actual question.
Student or Learner