Hi Jesus,
"Don't all shout out at once! One at a time please!" should be "Everybody, don't shout all at once! One at a time please!" or "Please stop yelling at the same time! One at a time please!"
Shout out is more often used like this by natives: "I would like to give a shout out to my family" or simply "A shout to my family"
Which means you're saying hello/hi to your family or that you're sending a message to your family.
Hope this helps!