That's very strange. Normally if hair's been chemically relaxed then it shouldn't curl at all after being washed, it'll suppose to basically act as straight hair would. But, given that you're Jamacian it would explain why you've got kinky style roots with more of a loose curl along the length, assumeably where it was relaxed. I'm guessing the relaxing didn't work as well as it should have.
You can take the fuzz out of your curls by applying a hydrating conditioning spray after you've jumped out of the shower. Don't dry your hair with a fluffy towel, but instead opt for either a micro-towel or a tshirt as it's not as prone to causing the static fly-aways and fuzz. If you use a small amount of pommade on your hair while it's still damp, this will help give your curls definition as they dry, thus helping to prevent them from fuzzing out. But I don't think any of this will give you the specific style you're looking for, not exactly. However, there's absolutely nothing to stop you from simply using a curling iron. It's not difficult to do, and could easily be used to produce that style. I have crazy mixed curl type, especially as my current long hair weights down some of my curls causing some to be much looser than others. But, I can barrel curl my hair in less than an hour very easily, and with a little heat protector and spray it'll hold shape all day, while on the other hand it would honestly take me at least two or three times that to straighten it (my hairs particularly resistant to straightening) and it tends not to hold up so well.
As for celebrities . . . to be honest, I have always been particularly envious of black womans hair. It's extremely distinctive, and personally it has always reminded me of regal imagery of strong African and Pacific woman through-out history. Of course, I understand that there is no one type specific to all black woman the world over, but I always adored the more kinky curl type that seems only exclusive to black woman, and worn with pride by the strongest and most independent of black woman in history.
Moderator - Site Help & General Geekery