When you use the Projected surface and you want to do surface to surface volumes between two surfaces, both surfaces have to be in the same Projection Plane. When you run the Earthwork Report, it will allow you to pick Surface 1 and Surface 2 as normal - and provided both are projected surfaces and both are in the same plane you will get a result generated.
Same applies to the Cut Fill Map - you can create one of those between Projected Surfaces again provided that they were both computed in the same plane.
In the pictures - the following will be issues
1) At the right hand end where the rock cut wraps around - you would have to calculate that end separately to the main walls on Left and Right side of the cutting - because the Plane is just that - a Plane and it cannot have bends or curves in it.
2) The challenge with any surface model is like in this case you have some areas that are near horizontal (in the middle and in the ditch cuts Left and right) and then you have a vertical face on left and right side which is highly irregular. The Projected surface assumes that you have all of the data in approximately one plane and it doesnt handle a mix of Horizontal and Vertical together well - you can apply an Inclined plane to try and pick up the mix of Horizontal and Vertical better. However the Radial Surface may work better in this case and then add the Radial surface to a corridor model to compute the volumes (if you have access to that command). That was originally developed for Tunnel surface modeling and does a radial sweep surface where all the data is projected onto a cylinder for the computation of the Surface Triangles.
This looks like a pretty interesting data set / exercise - if you want to share it with me I will take a look at it today and see what I can do with it - share it on the Google Drive that you have access to already. Send me an email to let me know you have shared it.
Alan