When I move my eyes side to side, I see some bubbling or bulging of a clear film on my sclera. Also, there's yellowish brown discoloration around iris?

Pterygium. The bulge on your sclera is probably a benign growth called a pterygium. If it is symptomatic, it can be removed by an ophthalmologist. Make an appointment with an ophthalmologist to examine the yellowish brown discoloration around your iris.