To copy and paste, you can only do one layer at a time.
If you put each path on a different layer in illustrator, you could bring the file into AE as a composition, then you could use the Layer > “auto trace” or perhaps “create shapes from vector layers”. Then you could add a stroke to the shapee and use a “trim paths” to animate the stroke of the layer.
Johnny Cuevas, Editor
Thinkck.com
“I have not failed 700 times. I have succeeded in proving that those 700 ways will not work. When I have eliminated the ways that will not work, I will find the way that will work.”
—THOMAS EDISON on inventing the light bulb.