The drop down menu's on the worldmap open but when moving the cursor to select an option the dropdown window automatically closes as soon as the curcor moves away from the initial drop down menu tag (the place where you put the cursor to open the options drop down).

Can you attach a screenshot of the button you are seeing the problem with?
Also, can you ensure the problem is happening with only this addon loaded?

Things have changed quiet a bit with TWW, can you please give version v0.43.0 a try, and reopen if the issue persists?