Amaterasu-While it is true the chakra provides room for the amaterasu to spread and burn, it can also be dissipated easily by the user. Thus no room for amaterasu to burn and no one is on fire.
Tsukuyomi- The jutsu requires direct eyesight. Sensing something and direct eyesight are two different things.
Susanoo- I already stated that only Madara's is stabilized. Saying the others are stable is in direct contradiction to the manga. Furthermore against kidimaro, kidimaro stated his chakra could not be cut by normal means(as seen when he tried to cut it with kunai) yet neji could cut it. He could simply cut into susanoo.
I already stated that he would need rotation to redirect the arrow.
The sword is still true to its word. Sand will not change its form and density yet it still blocks it. Neji's defense was compared to sand and sand never changes.
KA- The Byakugan users can see their chakra flow therefore can discover the jutsu.