Unlike SOLIDWORKS settings that are saved in the Windows Registry, user interface settings for SOLIDWORKS Inspection standalone are stored in the files located in C:\Users\<user_name>\AppData\Roaming\SolidWorks\SOLIDWORKS Inspection Standalone:
view_settings_bom.xml view_settings_chars.xml view_settings_dock_mngr.xml view_settings_mat_proc.xml
To restore default user interface for SOLIDWORKS Inspection standalone, close the application, rename these files (e.g. view_settings_bom_old.xml) and restart the application.
Copied to the same location on a different computer, these files will apply the existing user interface of SOLIDWORKS Inspection standalone to that computer.