Logo Vectorization & Color Variants

My logo currently exists only as a JPEG and I need it rebuilt as a true vector so it can scale perfectly for screen-printing, vinyl decals, and embroidery. Please recreate it with crisp, editable paths... (Budget: $30 - $250 USD, Jobs: Adobe Illustrator, Adobe Photoshop, Graphic Design, Illustrator, Logo Design, Print Design, Vector Tracing, Vectorization)