when using a broody hen youshould leave her, she has natural instinct and will kick out any unfertile eggs, only need to candle when using an incubator
A way to check between hen or rooster is carding, get a card and place it underneath the kneck feathers, if the feather are pointed at the ends it is a rooster, if the feathers are rounded it is a hen. The pointed feathers are defence feathers for when the rooster flares out his kneck feathers...
Geese do eat chicken eggs, it is quite clear to them that the egg is not their own, i have even witnessed my geese clamber through the small hole on my chicken shed and raid the nest boxes! i researched into it to see if it could be due tothem being hungry, but i was told that they find an egg...