What is a fighting cut and what is a show cut? Please elaborate.
If the hood is open, the engine cools off faster

The reason ears help cool the dog is because there is more surface for the blood to expel heat. The vessels are close to the surface and the heat escapes very quickly. It has nothing to do with the ear hole itself being open since it is not the actual ear that gets rid of the heat. I prefer for my dogs not to have cropped ears bit I have owned a few with cropped ears.
Part of the reason people crop ears is, so when they get cut, they can't shake their head, flopping their ears around, and bust open the cuts over and over again. Deuce is the firs dog I have done however, so I don't have much experience with it, but so far so good.
I have never heard this either. If you ever have this problem just put some superglue on the backside of the ears and glue them together on the top of their head. Sometimes the hair on the back of the ears needs to be clipped for this to be effective. By the time the glue wears off the ears should be healed, if not just do the same thing again.
I have super glued so many times I couldn't begin to count lol, never tried to glue them to the head, I guess the ear crop may fix this part of the solution

. Like I said, this is my first ear crop. Im gonna see how it goes.