💡 Detailed Explanation
The correct choice is Option 2: 'Shall I carry [them]?' To offer assistance to someone, the pattern '〜ましょうか' (Shall I do...?) is standard. '持ちましょうか' fits carrying heavy bags for them. Option 1 ('手伝っていただけませんか' - Could you help me?) is asking the other person to help the speaker. Option 3 ('持ってあげてください' - Please carry it for them) is instructing a third person to help, which is rude and inappropriate.