How do I make the model appear how it's supposed to?

[CaseyFanimations]

As you can see the model of Conker doesn't appear how he's supposed to I.E the white of his tail being so solid, and the whites of the pupil model his overlapping the eyes textured on his head.

 I tried hiding the edges of the eyeball texture to match the fur color and mixed the head texture with the color orange but I know there's a better way to make him look proper.

Thanks in advance