Convert Image to Vector

I have a raster image that I need rebuilt from scratch as a true, fully-scalable vector file. Everything should match the original artwork exactly—shapes, proportions, line weights, and, most importantly, the existing color palette... (Budget: $10 - $15 USD, Jobs: Adobe Creative Cloud, Adobe Illustrator, Adobe Photoshop, Graphic Design, Illustration, Illustrator, Image Processing, Photoshop, Vector Design, Vector Tracing)