The problem with option 1 is that I would have lines between the airports which would look very confusing (I have hundreds of airports visited).
The problem with option 2 is that I would have to look up coordinates (latitude and longitude) for each airport in my list.
My main idea is that I just want to quickly look at the part of the world I want to fly in, see the airports that I already visited and pick a route which I haven't flown yet.