1. He fights with a spear as his main weapon.
2. He does have the fan, but only as a memento of his teacher. He never brought it to the battlefield.
3. The command of the army passed to Zhang Wei when Zhuge Liang passed, so it still fits for him to be a commander.
I do gotta give props, though. The skin team knew what they were doing when making this skin.
Now I'll patiently wait for a champion to come out that best fits Zhuge Liang's archteype for a skin to properly represent him.