[Jack East]

It is possible to export mograph animations to Unity, but you need to bake the mograph animation into keyframes. Try using NitroBake.

Also..
Check the first few keyframes of your HPB transforms and make sure that you dont use a value of 0, set them to 0.0001 or Unity wont play nice.

As for the colour, try renaming the materials to anything other than MAT.

[Jack East]

Take the spline you want to offset
Add it as a child of a sweep nurb with a square profile
Set the distance you want with the square profile shape
Make the sweep nurb editable
Select the edge loop you need and click Edge to Spline
This will give you the same result as Illustrators path offset.