Hello
Sorry to say about the condition of insurance .
The symptoms which you mentioned are progressively deteriorating and in the day you feel "dry " 
cough , while early in the morning there is yellow to white mucus or expectoration .
No relief in hot atmosphere ( without AC). 
All these symptoms may be due to these reasons , these includes.
1 Asthmatic allergic 
bronchitis . As you also mentioned that there is difficulty in breathing also. Shortness in breath, wheeze, cough   , these symptoms are an indication of asthmatic allergic bronchitis .Physical examination will find the cause.
2 Since these symptoms are from last 20 days so we can't rule out 
tuberculosis . Get in  XRAY  chest as well blood examination for C B C & E S R ( if very high > 50 mm of 1st  consider about the tuberculosis.
3 Bronchitis complicated or uncomplicated .
Other reasons of such symptoms may be 
rhinitis , 
pneumonia .
But at present I recommend you visit a physician and get his opinion. In such condition I usually prescribe monteleukast+ bambuterole tablet according to condition of disease . 
AMOXY+
CLAVULANIC ACID capsule  twice in day for expectoration.
Salbutamol + ambroxole cough syrup.
Hope this information will help you.