Actually, Lyrarapax is from the Cambrian era, not Precambrian. Many bloggers get those mixed up.The real animal was probably more streamlined, and soft-bodied rather than fully armored, but your reconstruction looks very interesting nontheless.
I do always mix up Precambrian and Cambrian. Not sure If i'm depicting hard shell, or a sort of rubbery segmentation. The fringes were my speculation of gills.