Top of the World NCAA Men's Hat Adjustable Relaxed Fit Team Icon Hat

Is the size of this hat ok for women? Or will the fit be too big?

This hat came up when searching hats for kids. Would this hat fit a 6 year old or is it too big?

Does this hat have just the white s without the tree on it? it shows that in the product picture. when i go to checkout it shows the s with the tree.

What is the maximum head circumference for this hat?