By default every newly created map is an Area map (where entire regions in your map are being colored). To switch to an Icon map where you can place points (or any other icon) anywhere in your map:
❶ Select your map (one click)
❷ Click on the Map Properties tab in the right sidebar
❸ Toggle from Area map to Icon map in Map type drop-down.
Keep in mind that in Icon mode you can change the default circle to any icon from our library:
❶ Expand the Map properties tab in the right sidebar
❷ Scroll down until you see Icon thumbnail, click on the link Change next to it.