Vectorize & Polish Existing Logo

My current logo lives only in a JPEG, and I need it recreated as a clean, scale-friendly vector with a transparent background. The overall design stays the same, but I’d like the symbol’s contours tightened and the orange/black hues balanced so they feel more contemporary... (Budget: €8 - €30 EUR, Jobs: Adobe Creative Cloud, Adobe Illustrator, Adobe Photoshop, Graphic Design, Illustrator, Logo Design, Photoshop, Vector Design)