You will be able to share permissions with friends and then tribe mates as soon as possible.
The current permissions are what will be default within a tribal zone. Outside a tribal zone, other players will be able to access your containers, but they will be marked as stealing if they don't have permission.
If someone needs to access containers for a player they deleted, you can email me (support@notorious-games.com), but I plan to wipe characters this week anyways.