bow limb thickness: that's just the whole process of tillering. Take off wood, bend, indicate where you need to remove wood, repeat. If you're gonna back it: 15 mm is more than enough thickness for any bow. You'll probably end up at around 1 cm.
But honestly, this looks like a hell of a difficult project for a first bow, with wood you don't know is even any good for a bow. Yes it's extremely dense, but that doesn't make it better as bow wood per se: it just means it allows narrower limbs. Which isn't necessarily easy. I'd put it away, make a bunch of regular bows first, and then maybe look back at this piece.
my 0.02 €