A person also has a physical body.
God does not have this, nor does the Holy Spirit.
By the way, what you described as a “person” in your three points is also true of animals.
God and the Holy Spirit are both masculine, not because they are human persons, but because their masculinity transcends being a human.
Not necessarily. Before God created, He Was. Space, time, and mass were artifacts of creation, and without them there was no possibility of a body, yet He Was. He, the Three Persons, exist separately from the Created. Though Jesus was God in a human body, when He arose, His body was spiritual, not subject to physical laws as yours and mine are.