Here's a logo for your consideration that fits to the brief you require.
1. Simple - Nice, small and compact.
2. Bright colors - But just as effective in black and white if needed
3. Unique - Yet easy to remember, instantly identifiable.
4. Adaptable - Can be used as a social media button on a website, like Facebook, Twitter and You Tube buttons. Also on billboards, signs, letterheads, mugs, t-shirts and business cards etc.
Hope you like it. Any further revisions or tweaks can be made on request.
(This comment references Entry #33)