I don't know where to start! I would need to satin stitch after sewing around pieces. And I would use interfacing to make them stiffer. I also don't pre-cut additions.
I reverse draw the applique on back of main fabric, and cover each area on the front with appropriate fabric to outline/stitch. On the front, I trim close to stitching. Satin stitch at the end. I also use newspaper under area when satin stitching. It seems to help with smoothness. This is my example.