Help me to find out the overlaped items

I need to find out wheather one pathItem overlaped(or touched) any pathitems (or) textframes etc. Kindly advice me the possibilities via scripting. I have attached the sample file for your review.
Thanks for looking into this...

I think that this would be extremely difficult (if not impossible) to do with scripting. You can determine the positions of the points on a path through scripting, but I can't even imagine how you would be able to determine if a particular spot along a bezier path crosses another.
The only thing I could think of to make this possible would be to apply a pathfinder to a duplicate of your two objects and compare the original and modified paths to see if they were different, but unfortunately the Pathfinder is not scriptable (to my knowledge).
I think that you are going to find this way beyond complex to solve.

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