point A to Point B

Happy New Year everyone. Here is my question; I would like to write a script in c# which has points like point A point B point C point D etc between those points there are reference lines which has intersections when i select two random points for start and finish the script chooses and draws the right shortest way between those 2 points. The problem is intersection points of reference lines which are also points. when i try to send a point to another, at the first intersection it stops. shall i delete points on intersections?