When I select a text, the icon AA (Edit CSS) becomes clear, and inactive.
This is not a K2 feature.
Now, worse : for all my category blogs, I have no more text or image.
If the image was added in your editor then you need to add images from the K2 image tab.
If by using the read more button the K2 image is hiding, then the template you are using has a bug which it's dev should address.