Logo Redesign & Format Delivery

I have an old logo in PNG format that I need redrawn to a clear resolution.

Key Requirements:
- Redraw the logo in high resolution
- Deliver in specified sizes: 500x500px, 1080x1080px
- Provide in various formats: JPEG, PDF, PNG, PSD

Ideal Skills and Experience:
- Proficient in graphic design software
- Experience with logo redesign and format delivery
- Attention to detail for exact design replication