My Muscovies didn't start truly perching until about the time they all turned 1 year old. And they won't perch on logs, poles, etc. They love to hop up on the old duck house and sit up there. Since there is a brood box to the side, even the boy can hop up on that and then hop up on the roof. They love it. We tried giving them perching logs and beams but that was not preferred.
As to broody, oh my goodness. All of my girls are so moody when they begin to really make their nests, when the fluff comes out and the hole is deep. Until then, there are eggs everywhere in my backyard. But, the moment I notice one of the girls has disappeared for half the day, I go searching. Sure enough, she's confiscated other people's eggs that were laid that day and is sitting. If I go near, she yells at me, fluffs her wings and gets agitated. Hilariously, she is so agitated, that I can pick her up, in broody-sitting mode and all, and gather the eggs under her. We leave surrogates, but holy moly, the talking to that I get for even coming near is probably in need of bleeping. I have one that will get so broody that completely destroying the nest is the only way I can get her to get up and go. She would be a good momma if we ever allow her to hatch.