1- Do you have any specific imagery in mind for your logo?
Yes, something of this shape and form:
https://www.imgur.com/qmiRYDM2- Do you have any color preferences, or existing brand colors?
Preferably a cooler palette, with an emphasis on the blues and grays.
3- Do you have any colors that you do not wish to use?
Warmer colors, such as red and yellow/
4- What adjectives should best describe your logo?
Clean, minimalist, modern.
5- What feeling or message do you want your logo to convey to those who view it?
Clean, minimalist, modern.
6- How do you prefer your logo to be worded or written out?
Group Name: Exordium
7- How would you like the design to appear?
Similar in shape to the examples given, ultimately it is up to you.
8- Where will you logo be used?
Web, as for a group.
9- Where will your logo primarily be used?
Prime usage is for a group/team.
10- What logos appeal to you and why?
Logos with the aforementioned traits. They do not distract from the main image / look busy.
11- Do you have a tag line? If so, would you like it stated along side your logo?
Group name: Exordium
Either or is fine, which ever looks better.