Wordmark & Lettermark Logo

Hey I would like a logo that says ' Arbuah' in a word Mark lego and 'A.' in a lettermark logo.

I would like a version in black, white and rainbow - like (see example)

I'd like:-
Them to have no background
Initial Concept options
Unlimited amendments option
100% original VECTOR label, scalable to any size without losing quality
FULLY editable files where colours and text can be updated if you want to
FINAL FILES Includes AI, EPS, PDF, JPG, PSD, PNG
Ownership: I will own 100% copyrights of artwork.

I've attached some samples ideas of how id like the wordmark logo, if you could try those in 'Arbuah' plus also include a few other options.

I've also attached a colour example of what I mean when I say I'd like a version in rainbow - kind of like a hex colour chart if you know what i mean.