Simple textual existing logo redrawn in common formats

Type of logo: Letter form
Brand name/slogan in logo: Existing logo to be redrawn. No new design needed.
Number of revisions: 2
Ideas for the visual style: Existing logo to be redrawn. No new design needed.
Things to avoid: Existing logo to be redrawn. No new design needed.
Preferred colors: Existing logo to be redrawn. No new design needed.
Where the design will be used: On website and print media
Extra notes: We ALREADY have a logo which we just need re-drawing and then providing in JPG, PNG, GIF, and EPS + SVG in the CMYK color mode. The JPG, PNG, and GIF need to be in heights of 40, 100, 300, 1000 pixels at 72 pixels per inch resolution and/ or suitable for website display. There should be no stray pixels on the white background please. Existing logo is loaded here. We expect this to be correct first time without revisions, but have allowed two revisions in case of misunderstandings.