Circular Badge Vector Redraw

I have a C1 SP circular badge supplied only as a JPEG/PNG and I need it redrawn from scratch as clean, single-colour vector artwork. The exact shape layout and proportions of the original must be preserved,... (Budget: $30 - $250 CAD, Jobs: Adobe Creative Cloud, Adobe Illustrator, Adobe Photoshop, Graphic Design, Illustration, Illustrator, Logo Design, Vector Design)