Maybe I was too vague in my way of defining "person". A simpler way might be to say a person (in my view) is an extension of a human being. A human has personality, a mask, a face, a behavior, that makes that person. Person to me requires to be human, limited, finite, etc.
The term person is tricky. Everything you point to that defines a "person", will either make only some humans a person, or make all sentient life a person. For instance, does an infant out of the womb have a personality? Does it have an ego, a locus of self-identity differentiated from others tied to his collection of history, social networks, family ties, likes and dislikes, etc? Not really. Yet we call an infant a person. Yet a chimp has all the traits that a toddler does, much more advanced than an infant, yet is not a person? When does a human become a person? And so forth.
Japan I believe it was just declared dolphins to be persons, in order to prevent the harvesting of them for food. Is it incorrect to call a dolphin a person? And why? They are just as intelligent as we are, if not more. They have names they identify with (they have shown they have certain sounds they make to call specific dolphins out, that identify themselves with those sounds individually). They work cooperatively in groups. They have communication. The only thing they don't have is opposable thumbs in order to make tools and advance technologies. Is technology what defines a person? Is the opposable thumb? Is creativity? Is personality?
You see the problem? What I see as being more the defining characteristic as what people think in their minds when they thing "person", is the human form. Homo Sapiens. But when we say person, that somehow translates into "not animal". But we are animals. So in this sense, yes God, or Gaia, or dolphins are not persons, because they are not human. It just made me think, historically, those of a tight ethnocentric group in fact did not/do not see others outside that group as persons either. The Holocaust comes to mind off that bat.
If I would put the same attributes on the universe, I would diminish the universe. Also, it would be a form of categorical fallacy. Just because a whole consist of parts, the whole is not the same as the parts. We consist of cells, doesn't mean I'm a giant cell.
I'm actually trying to lead to a certain perspective through jogging free some of these assumptions about individuality we make. This point here is getting to the heart of it. What you are saying here is true and not true. And by the way, this does tie into the discussion of pantheism very much so.
Who am I as a person? As an individual? I am a collection of atoms and cells all in relation with each other. Yet there is an "I" that is dropped down around all of them that says "Let's go", and we all get up and go together. But am I a cell? Am I a carbon molecule, personally? In fact, what is a molecule itself, except an "I" boundary dropped over a "we" collection of atoms. And what is a cell, but an "I" boundary dropped around a collection of "we" molecules. What is a biological body, an animal body but an "I" boundary dropped around a "we" collection of cells. And who is this "I" in my mind, but a boundary dropped around the biological organism and all its social collections? Who exactly is "I", and what stage of awareness, and dropped around what collection of "we"?
And then, if we are a collection of interacting, communal "I"s of mind and will and personality and desires and hopes and dreams, etc, is there a boundary that drops around these that can be called an "I"? Is there a "Big Mind" that exists? A great many mystics entering into these spaces say so. I would say so. And if a boundary dropped around a collection of forms up that great chain of being, from matter, to body, to mind, to soul, to spirit, constitutes an "I", then isn't that boundary the same as what we call a "person"?
In reality, it is simply our perceptual awareness of the nature of who or what we are that we call "I", and identify as a person, or a true human being. A child when asked to identify themselves points to their body and declares, "This is me!". A teenager when asked to identify themselves points to their friends and family, and so on. If you ask an adult, they'll cite their jobs, their communities, their roles, the nationality, etc. If you ask the mystic, he will touch the sky and the earth and say "Just this".
Is the mystic a person? And where is the center of his self-identification? And if it All, then isn't that the same all the way down, that it is all God, and all identified with as a person? Take for instance what Jesus said in the Wisdom Gospel of Thomas (I'm not calling it a Gnostic gospel because it's not):
"I am the light that is over all things. I am all: from me all came forth, and to me all attained. Split a piece of wood; I am there. Lift up the stone, and you will find me there."
Where is this I?
I'm out of time here, but this gets more interesting after this.