Sorry, there is no such idiom as "at wit's put end to". "at wit's end" means you have tried every possible way to solve a problem but cannot do it and do not know what to do next. "put and end to" means to stop or put a stop to something.
If you put something to rest, you solve the problem and end things.
We must put an end to piracy, once and for all.
Yes.
as wise as an owl
Yes.
I have not heard this idiom before. Perhaps you heard "Put to death" which means to kill.
You put your shoulder to the wheel.
It's not an idiom. Idioms make no sense unless you know the meaning already. "No end" means just what it looks like -- something is endless.
"Put your heart into it" means to put as much effort as possible into something.
idiom
It means shut up!