Final answer:
The underlined part 'so I respect him' includes a coordinating conjunction 'so' and an independent clause. The conjunction 'so' connects two clauses and indicates a cause and effect relationship, while the independent clause has a subjective case pronoun as its subject.
Step-by-step explanation:
The grammatical name of the underlined part "so I respect him" in the sentence "He is my father so I respect him" is a coordinating conjunction followed by an independent clause. Here, 'so' is used as a conjunction to connect two independent clauses: "He is my father" and "I respect him." The function of this word 'so' is to show cause and effect, indicating that the respect is a result of the person being the speaker's father. The independent clause "I respect him" has 'I' as a subjective case pronoun functioning as the subject.