Pain on the right side has many causes. But as there is increase in pain while taking deep breath or sneezing; it points towards Pleuritis.
Pleuritis is inflammation of outer covering of lung.
Even pleural effusion
or pneumothorax can also cause such pain.
Another cause is cholecystitis i.e gall bladder inflammation
Sometimes pancreas inflammation
also causes similar pain.
Is there any history of trauma-which is commonest of all.
To come to diagnosis, you can consult doctor
. Get X-ray chest done to rule out effusion /pneumothorax.
Get ultrasound done to rule out cholecystitis or pancreas inflammation.