Vectorize Existing Logo Artwork

I have a logo that currently exists only as a JPEG. I need it redrawn from scratch in Adobe Illustrator, using the pen and other drawing tools so every line is clean, crisp and fully scalable. The finished artwork should look exactly like the original in terms of colours—please match them precisely—while gaining all the advantages of a true vector file: no pixelation, perfect edges, and easy resizing for print or web.

Take Not :
We are printing company working last 30 years. So we easily can understand design designed by hand or designed by any tools. Only Serios designer message message to us who really full-fill our requirements. Don't message any how otherwise we will make report to for false information.

Deliverables
• AI file with editable layers
• PDF, SVG and high-resolution PNG exports
• All type converted to outlines so no fonts are required on other machines

Acceptance
The vector must overlay perfectly on the supplied JPEG at 100 % size with colours visually identical and paths neatly organised. Once approved, hand over the final files in a single zipped folder.

We want page 1 type full sharp design not like page JPEG to vector convert. Sample for Reference only