Does fungal infection in body show effect in eye something like itching , burning frequently?

Probably not: Systemic fungal infections can affect the eyes, but not usually in the way you describe. The fungus can get into the eye through the bloodstream and cause a serious condition called endophthalmitis. You can get a fungal infection of the cornea, but it would be unlikely to come from a systemic infection. What you describe sounds more like dry eye/allergy. I would see an ophthalmologist to be sure.