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During the investigation scenes enable object highlight by pressing "?" in top-right corner and click on all the items to progress

Start
(Where It All Begins)
-Save 1-
Take the case
Enable object highlight by pressing "?"
Click all highlighted objects
-Save 2-
Go to the painting
(Beyond the Painting)

-Load 2-
Dont go to the painting
-Save 3-
Take the locket
(Case closed)

-Load 3-
Leave the locket
(A Mermaid's Tale)

-Load 1-
Reject the case
(Pulling Strings)

Start
Take the case
Dont go to the painting
Take the locket
(In the Dead of Night)
(Thank You For Playing!)