There IS no movement or camera control, eh? 
Seriously though. The main thing you need to be able to do, is respond to part of the screen being clicked.
You could do this with multiple copies of a blueprint dotted around the map, which consists of a camera ( in the required position ), and parameters for responding to a screen click using something like ‘get mouse position on viewport’ ( or similar ). Depending on which area is clicked, the player view is just switched to another camera blueprint.
Unlike the real Myst, the environment would actually be 3D, not a series of pre-rendered stills. But technology has moved on so much, that things will still look much better anyway, and there’s no way to know it’s not pre-rendered 
So once you have that one BP right, all you really need to do, is build the environment, place the BP everywhere, and invent the puzzles.