You haven't mentioned the material domains? Does this mean one is reborn in the immaterial domains after death, and then if the fetters remain, later, they can be reborn in the material domain, if that is their karmic fate?
I think you mean immaterial domains. In Buddhism they speak of taking birth on another plane of existence after death. That is one way to speak of what happens. I prefer the soul/astral body explanation, because that described better the experience of leaving the body in an OOBE, or after death. So, after death we leave the body and move to some part of the immaterial domains where we reside for a while before taking birth again in another physical body. What goes on for most people in between lifetimes is dream-like.
Would an individual's personality and physical characteristics be similar when they are reborn?
There will be a number of similarities psychologically, and possibly even physically, from one lifetime to the next. I once saw a book about a Spanish mystic from the 19th century, and it had a photograph of the mystic. The mystic looked just like Michael Hawkins, so it is possible that was one of Michale's previous lifetimes.
I'm a little confused here. Up thread you mentioned it was one's aggregates that craves rebirth. If consciousness seeks physical form, then this would imply consciousness craves? Is it consciousness that craves rebirth, or is it the aggregates that crave rebirth, or is it both?
This makes for an interesting chicken and egg style philosophical argument that could entertain philosophers for a few centuries. So, let us boil it down to the question, "What craves?' The identity is made up of the 5 aggregates. Consciousness animates the identity. The identity defines itself by its cravings. When craving and identification ceases, then one become pure consciousness, Budha.
Do all beings possess the same undifferentiated spiritual consciousness? (i.e., that your spiritual consciousness is the same as mine.) If this is so, would this be a prime example of non-duality?
This makes for another interesting chicken and egg style philosophical argument that could entertain philosophers for a few centuries. At the point of the 8th samadhi, one becomes everything, thus "all beings possess the same undifferentiated spiritual consciousness."There are seven non-dual stages before that. There is a saying in Advaita, "Atman es Brahman." It means "soul, is god."