For the first request (for putting in a good word), the Duke will laugh and appreciate the cheek, and say maybe in a way that implies he might actually do it, rather than maybe in a way that implies he definitely won't. His general relief at having made up his mind to tell Anora about his kid is definitely making him more amenable to the idea.

For the second, he'll laugh again and say he's barely able to keep track of her himself, but she's frequently in Afsaana when she isn't at sea. (Though it is important to know OOC, and perhaps easy to assume IC, that this isn't where she is most frequently when ashore; she's most frequently with their kid, and João isn't giving up that location.)