Hi,
Open Finder window
Use the GO Menu whilst holding down the ALT/Option key (⌥) and the select the Library that appears.
Navigate to Preferences.
Find com.apple.imagent.plist
Highlight this files and then use the CMD and i keys together (Get Info)
Scroll to the bottom.
Highlight your Account's short name in the list.
Unlock th padlock then use the cogwheel like icon underneath.
It should show the phrase "Make yourShortname (me) the Owner"
This should be greyed out if you Own the file.
You should also have Read and Write permissions.
This .plist is the one that holds the setting for "When I Quit..."
The other info about the Status change (or not) when coming back from Sleep of Screen Sleep is held in com.apple.iChat.plist itself.
Make sure you Own and have Read and Write permissions as well.
If you do own these and have the Read and Write permissions but it still does not change then do this:-
https://support.apple.com/en-gb/HT203538
This is because the path to Write to those files is via ~/Library/Containers/com.apple.ichat/Data/Library/Preferences and then Alias files that point to the Originals.
You need to own the Original files, the aliases, and all the folders that they are contained inside.

7:43 pm Wednesday; April 25, 2018
iMac 2.5Ghz i5 2011 (Sierra)
G4/1GhzDual MDD (Leopard 10.5.8)
MacBookPro 2Gb (Snow Leopard 10.6.8)
Mac OS X (10.6.8),
iPhone 6 iOS 11.x and an iPad (2)