I was making up the term "predicate pronoun" but predicate nominatives and predicate adjectives complete the subject but fall within the predicate. They are the two types of subject complements -- even though they have "predicate" in their names. "His" and "mine" are possessive pronouns. "His" and "my" are possessive adjectives. Yes "his" can be either, depending on its use. Even though "my" is a possessive adjective, it is still a pronoun. Confusing, isn't
These are American terms.