Really like how clean and strong both submissions are- #35 looks good with the LCC, just not as visually interesting as #27- not sure what to suggest to improve upon #35...?
Like your new designs. Just thinking of a small twist on #27 - could you make the circle a globe to see what it would look like? Very faint continents on it though, so it doesn't interfere with the LC. Maybe try "ghosting" the continents in?
We like these quite a bit too. Anything else you can think of to add some texture to the original design in #27 to give the blue circle more texture or interest? Quite like it just plain as well but wondering what texture or gradation might look like.