I think I like this one the most so far. I think it is the "A" looking like a little wave is what I like about it. I will get a rest set of eyes to go over all the images. I like the fact that you took the time and look up Anguilla and made it part of the art work, but the fonts and the wave is not eye catching. the flower, the birds, the fish, and the text does not speak to me at all. That red hot sun and wave crashing on the rocks does not say tranquility to us.
Looks like a nice place https://www.google.co.nz/search?q=anguilla+island Are you sure about the tranquility wrap byline? doesn't make sense to me and I'd be your target market, I reckon.
I am sure of the byline, I did not come up with it and I not going to say if I like it or not but it is the tagline that they want to used here is the site, you can see the logo that they have now but they want to replace it http://ivisitanguilla.com
Tranquility 'wrapped' in blue would make more sense to me, unless it isn't in English, but whatever floats their boat ...