Looks like the Renay character uses a combined MAT/MOR pose, that not only injects the head morphs but also applies the Renay texture.

And as Renay was made for V3, you have to either use a V2 head texture for V3toV2, or convert the Renay texture first with the UTC.

You cant have it both ways.
Either you will have to convert the V2 second skin textures you bought with UTC to fit V3 and use the standard V3 figure, or use the cloth textures as they are with V3toV2, but then you have to use a head texture that was made for V2.

The V3 head morphs can be injected into all figures that have a V3 head (V3toV2 as well as the V3/V2 hybrid) without a problem, so they cant be the reason for your distortion.

A screenshot would be helpfull to give further advice.

stahlratte