On the quick edit drupal page it says,
Works with any Drupal 7 site (requires the Entity API, CTools and
Libraries API (>=2) modules, plus the Underscore.js (>=1.5) and
is desired, you must also use the CKEditor module.
You need to download and install the libraries module
Then you need to create a libraries folder in
sites/all folder. So it looks like this
Then you need to download the Backbone.js and Underscore.js and put them inside the
I also see you have some other errors, which is not Quick Edit related. Must be from some other module you installed.
What the errors are saying is that you need to create a custom CK editor http://ckeditor.com/builder and make sure you include the Shared Space and Source Dialog plugins. So under avalable plugins (right column), scroll and find these plugins and click on the left arrow to include them on your CK editor build. Then scroll all the way down, checkmark the I agree to terms box and click on Download. Then you need unzip and put the ckeditor folder in your
sites/all/modules/ckeditor/ folder. So it will look like this