Hi,
If you want to hear about my opinon, I do not think that reverse engineering is possible regarding trading unless you have some clues about indicators that may be used.
Are you sure it is only automated trades? and not a blend of manual trades as well?
Do you know if there is manual closed position or not?... what are the rules for exiting a trade?
Are you sure that your history is only one EA?
One EA could contain many different type of strategies for opening trade.
Regards