1. how to look the history report?,
After you make 300 good reports.
I am just curious about 1 of my reports that feel is looking bad, I reported 1 thread to move to economic board, but when I look again the thread has moved to the bitcoin discussion board, which means I have a bad report?, correct if I am mistaken.
Usually moderators are not really demand 100% correct report, even if you say you report the post should be moved to economic board, but if the thread is more correctly to be moved to Bitcoin discussion board, your report wouldn't become bad report. It still a good report if you report for a correct reason, although it could be a soft-bad report.
2. if the moderator moves the topic, whatever the reporter did (if not in accordance with the board) will mark as good?
Yes.