Thanks for the query to H.C.M. Forum.
Intense cough, dry in nature , wheezing ( whistling sound ) all are due to allergic bronchitis
Fever is there as temperature 38.5 degree i.e. infection is there.
This is a common feature in child of this age group.
In my opinion consult PHYSICIAN and get his opinion . Montelukast
, syrup may help.
syrup is must along antibiotic.
Try to avoid pollen, humid atmosphere with fume, spray etc .