First off, is " пожалуйста, убрать твоя себя от моего дома сейчас" correct?
The only words that are supposed to be in the Genitive case are "My" and "House"?
Yes, only these... but the sentence is wrong. "Убирайся от моего дома" is more or less correct, however "пожалуйста" doesn't fit the rude style mandated by "убирайся". "Убирайся из моего дома" too.