Is there are transmap on the hair, too? Because that seems to be rendering okay. It's an obvious suggestion, but check the trans settings on the lashes and eye material (ie make sure it's set to 1 not 0). Apologies if that's so obvious you've already done it. Do you have any reflection settings on the eye cornea? Usually I would have the cornea diffuse colour set to black, the transparency 1 (in P5/6 check the trans falloff and trans edge settings, too - set all to 1) then add a specular or trans map. The white eyes made me wonder if that's a reflection rather than a trans problem...though it's a seriously strong reflection if that's it!