While @cynd11 was looking at your file I took a fast look too.
I killed the extraneous colors (and layers) and now it’s two colors, one to engrave and the other to do something like a “sticker” cut.
4833_JacksSons Woodworking_Logo_D_D_04.zip (1.1 MB)
Both the AI and SVG file are in the ZIP, here is what the SVG file looks like by itself.
Perhaps between @cynd11 and me you’ll have something you can use 