Logo design

Type of logo: Letter form
Brand name/slogan in logo: The Little Eid Co.
Ideas for the visual style: classy, modern, brand identity,visually crisp
Preferred colors: dark purple, gold, white, blue, light grey
Extra notes: 1. Main logo for the company name.
a. Possibility of the use of a crescent and star, symbols that represent islam (perhaps put the crescent as the dot of the I in little, and a star as the dot of the I in Eid)
b. Possibility of the use of a simple looking gift box as independent reviews will be aimed to be on items that can be gifted to muslims
2) A smaller profile logo that can be used to represent the main logo
a. Can be an abbreviation of the company name if need be
b. Could combine imagery associated with the logo and smaller text with the name
3) A background to match/compliment the logo which can be used for social media
a. Themes can include Moroccan lanterns, Arabic calligraphy, arabesque, Turkish tile
4) A profile picture to match/compliment the logo which can be used for social media
a. Can be the logo redesigned slightly at this early stage
5) A circular design that can be used on a sticker to represent the brand in the future
a. Can use the background in 3. and layer the logo ontop
We are looking for something quite modern that will resonate with people as something of high quality and classy and are looking for a brand identity that is quite crisp and clean looking so a fairly minimalistic look. Colour options include dark purple, gold, white, blue, light grey – the fewer colours the better, no more than 3. We had thought of the word “Eid” to be in a dark purple colour perhaps and the rest of the writing in a light grey.
We would like to have a 4-5 brainstorm ideas from you, for which we would then choose 1 to go with and have 3 iterations of this design at minimum.