I dont like the cursive "nation" on entry #2 but Entry #2 has a better concept for the center, but it looks a bit intense. Try something more simple for the top and friendlier looking, if that makes sense.
Maybe the two "o"'s could be abstract leaf petals?
I like where you are going with the "o" being part of a flower, but maybe work on making it more friendly and feminine. Its a little too hard to tell this is a logo for a flower site.