Continuity mistake: When they are in the big hall he goes to demonstrate that he can shoot. He shoots 5 arrows. When you see the arrows hit the bowl only three hit. (00:32:00)
Sometimes he shoots 2 at a time. He does shoot 3 times, but he shoots five arrows.
The correction is valid. He never shoots 2 arrows at once. You may need to watch in slow motion if you can't see what happened. He grabs 3 arrows with his right hand and keeps them in his hand as he shoots 1 arrow at a time. This is probably most obvious on the 2nd shot where you see the 2 arrows in the bow, but when he releases his hand, you see one arrow still in his right hand and 1 arrow leaving the bow.
He starts holding all 3 arrows, shoots 1, reloads holding 2, shoots 1, then reloads and shoots the last arrow.
Continuity mistake: When Strategist Wang uses the magnet tied to a pole to sedate the caged Tao Tei, the pole ends with a hook that does not appear in the POV shots. (00:59:00)
