does the first jQuery wrapper (Code-Wrapper #1) include the Document-Ready function or not (Code-Wrapper #2).
No it doesn't.
Do I have to wrap the jQuery in BOTH wrappers?
If you need DOM ready, yes you do, but in Drupal 7, they suggested Drupal.behaviors. See https://www.drupal.org/node/756722#behaviors
CMIIW
