Where are the two dots? The two little islands left of Borneo are on the map anyways and it’s hard to see if they are darker because of a pen or because of the quality of the picture.
Anyhow: whatever you try to clean it, please try it on the back of the board first. A bit of the artwork of the map is folded over the edge of the board towards the back of it. Better to ruin that bit that the actual top of the board.