Hi! About the blurry background, could you please share a screenshot of what you see as blurry please?
Regarding delete/empty trash on exit, in the new Outlook, the closest equivalent is typically an option to empty Deleted Items when you sign out but not when you close the app, found under Settings (gear) > Mail > Message handling, if you need “on close/exit” behavior specifically, Classic Outlook is the way to get that today.