Hello
As you have cold, most likely the post nasal discharge might be irritating your back of the throat (posterior pharyngeal wall) making you difficult to sleep.
* It would be helpful to you if you take antihistamines like Cetrizine one tablet at night.
* Take steam inhalation with karval plus vapocaps or Vicks in hot water. This helps as decongestant.
* Tablet
vitamin C helps to boost immunity.
Helpful home remedies: warm milk with turmeric powder/ ginger tea/ sipping warm water with honey.
* If fever starts or mucus is yellow green colour or not getting better with this, then you may need to start with antibiotics.
* Generally such symptoms are due to viral infection which subside in 5 to 7 days.
* Also better to avoid direct cold air blast.