Hello, Gentleman .
Usually the reason ( predisposing factors ) of cough in your case may be, dust , fine dusting powder, sudden increase or decrease of temperature , humidity , pollen , mold, hay fodder, cotton fibers ,
lactose allergy ,
food allergy .
As such type of allergen causes
bronchoconstriction , hence there develops cough ( more in the night or early in the morning ) .
However the best way is avoidance of these predisposing factors .
When such type of patient visit my clinic I usually prescribe MONTELEUKAST+ BAMBUTEROL tablets once or twice in day depending upon the severity of allergy .
So you can try these drugs ( only mild tremors occurs for first 4-5 days ).
As you mentioned that you are also having loose motion due to
lactose intolerance , so the best way is to avoid lactose , else you can take
lactobacillus sachet as you require .
Hot coffee help in both allergy and loose motion.
Hope this information will help you .
Good luck.