If you want certain people--or people with a specific permission--to have access to this page full of background check information, add them to the list of Administrators.
From the Background checks tab, click Settings.
Click Add an administrator and choose from the dropdown.
People Administrators without background check permissions can see the Background Check badge on a profile if the person's background check is clear. They will not see that badge if the person has no background check or the background check is not clear.
Anyone with permissions in Check-Ins or Services will be able to see if someone is missing a background check but will not be able to see any details.