Greetings, what do the red, and green dots on the blue stroke lines denote, and why are there so many?
The white boxes are vector control points. The red circles are the bezier handles of the control points. I am assuming that you have used the contour editor tool to select a vector. Zoom-in and you will see this a little more clearly.
Also when asking questions like this it is better to provide more details so that
others can understand the question better. You will be more likely to get a faster response.