Create Vector Files from Logo

I need a skilled graphic designer to create three vector files from my existing logo "Mame kod Lane" (LOGO.png). The files should have a transparent background and be in EPS format. The details for each file are as follows:

1. Recreate the existing logo with thicker words, as demonstrated in Thickness_EXAMPLE.png.
2. Create a vector of the word "Mama" with a capital "M", using the font from the logo and the thickness shown in Thickness_EXAMPLE.png.
3. Create a vector of the word "mama" in all lowercase letters, using the font from the logo and the thickness shown in Thickness_EXAMPLE.png.

Key Requirements:
- Deliver three separate EPS vector files with transparent backgrounds.
- Maintain the original colors from the logo in all vectors.
- Ensure no additional effects like shadows or gradients are applied; use solid colors only.

Ideal Skills and Experience:
- Proficiency in vector graphic design and software like Adobe Illustrator.
- Attention to detail in replicating font styles and thickness accurately.
- Experience in creating clean and precise vector files with transparent backgrounds.

Please ensure that the vectors are true to the original design specifications provided.