Here the word "name" refers to Christ himself. This can be stated in active form. Alternate translation: "If people reproach you because you believe in Christ" (See: [[rc://en/ta/man/jit/figs-activepassive]] and [[rc://en/ta/man/jit/figs-metonymy]])
Both of these refer to the Holy Spirit. Alternate translation: "the Spirit of glory, who is the Spirit of God, is resting" or "the glorious Spirit of God" (See: [[rc://en/ta/man/jit/figs-parallelism]])