Do you have multiple lights in your level? If so it may be that there are some set to stationary or static that need to be set to movable.
With the linked images, you may want to make your walls thicker or adjust the Shadow Bias to a lower value. This can produce artifacts though so it’s best not to go too low.
Long view distances will not work especially well with CSM without adjust some settings, thicker walls, or alternative methods like using distance fields.
In 4.8 there will be an option to use Far Cascaded Shadow maps where some objects can be tagged with the flag to use this method. This will allow these objects to have dynamic shadows at greater distances than the 20k units that is the hard limit for the directional light.