Great idea! You can do most of that now with this great macro by @DanThomas :
MACRO: Go To Executed Macro
It should not be too hard to mod this macro to open in a new Editor Window. Just add a Select Menu Action.
Another good idea, but I'm not sure how many users would want to automatically rename the Group Action. I usually do, but I'm not sure it should be the default behavior.
My suggestion would be for KM to add a shortcut key to rename any Action.
I'm sure you could write a macro/script to do this.
Not a bad idea, but I'm not sure how many users would really want/use this.
Meanwhile, you can achieve this by creating your own custom Actions, and saving them to a "database" known as KMFAM. Another great macro by @DanThomas:
MACRO: [KMFAM] Favorite Actions and Macros
While this meets your request, it goes much further. Being able to fully customize any Action (even multiple versions of same Action) and quickly find and insert it is very powerful.