Logo Refinement and Vector Conversion

I need a skilled graphic designer to finalize an existing logo. The logo is currently in JPEG format and needs to be converted into a vector format (e.g., SVG, AI).

Requirements:
- Correct geometric issues:
- Ensure symmetry
- Align all edges and angles
- Perfect circles and curves
- Deliver maximum quality
- Provide several versions of the same logo for different backgrounds (extended and simple)

Ideal skills and experience:
- Proficiency in vector graphic design
- Attention to detail and precision
- Experience with logo design and refinement
- Familiarity with design software like Adobe Illustrator

Looking forward to your bids!