My reasoning :)
The dome expanded out from Law's hand, so yes, the jute passed through it.
The hulls of marine ships are lined with sea-stone so they can cross the calm belt and avoid the sea kings. (not in this rp because Vegapunk hasn't been born yet)
Yes, I think Kizaru could damage the hull if his body wasn't touching sea-stone. (Luffy once split a battle ship with his foot)