Unable to replace faces

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I had already created this post but it was marked as spam. Hopefully this works.
Hello,
First, I should say I have only been using Fusion360 for a few days now, and have never attempted to use similar software before. I am basically clueless, but want to learn.
I am struggling to complete a design I would like to be able to carve on a CNC router. The end goal is a flag that appears to be flowing in the wind. I created the initial sketch with all the appropriate dimensions and extruded the flag as a simple rectangular box, and then worked on the stars so that they would be raised above the surface. That has worked for me.
My problem lies when I attempt to "Replace the Face" with a sculpted plane that I created. I like the look of the "waving" plane, but I cannot get the plane to replace the flat face on the flag itself.
I attempted to replace the face on a simpler box with just three circles extruded into cylinders which stood proud of the surface of the box, with a similar waving plane in a separate job and it worked, however the extruded cylinders do not stand proud of the waving plane. Is this possible to accomplish?
My end goal is to have the top surface of the flag having a smooth flowing contour with the extruded stars situated on top of the waving face, but also follow the contours. I also want small grooves in the waving face at the edges of each stripe and around the union and I'm not sure how to accomplish that either.
If someone could show or explain if this is possible and how to accomplish it, I would greatly appreciate it. I will attempt to upload the job here as well. Thank you for your time. I have attached the exported file of the project.