"Your brother has a house."
Translation:У твоего брата есть дом.
Not clear. Do you want genitive case style possession 'у меня есть' or nominative я имею?
As in he 'posses' a house. I know you can use "иметь" for abstract concepts such as 'я имею право' but I'm fairly certain you could use it here for possession.
You technically could, but without context this looks borderline correct. I can't really explain it, but in some cases it's better to use one or the other: here's only the Genitive construction is natural.