Hi I can only suggest that you make sure you are using the CC3 to C4D preset during export.
I am using a CC3 to Blender 2.9/EEVEE pipeline
where I have sorted out the process of loading& connecting the exported micronormal maps to the principlced BSDF shader
in Blender as well as plugging in my own custom Scatter masks to contol the distribution
of sub urface scattering on my human figures.
In short.. you will likely have to sort out how to get proper shader setup with Redshift/C4D yourself yourself I am afraid.😏
On the matter of morphs, CC3 has an excellent FBX exporter that allows the attachment of multiple Iclone motion files during export from CC3 pipeline.
Any facial or other morph based animation , created in Iclone, must be saved as motion plus files to be exported via FBX from CC3.