Copy Parallel - Need to implement programatically

Our data is of pipelines and nodes wherein for each feature there is a line and a point node as end points.

So while copying parallel lines, we need to customize the OOTB tool so as to copy specific number of lines and create a node point at end of each line.

Our code is failing for a 'V' shaped feature.

I am working on ArcGIS 9.3.1 ESRI product. I need to create a point feature for end vertices of each line.