A couple reposts or so are ok, if the article hasn't yet received significant attention. That's one reason the dupe detector is deliberately left porous: to give good stories multiple cracks at the bat.
(Please don't abuse this, though; accounts that repost too much lose their submission privileges.)
Clerical staff at your service. While I'm at it: please don't delete and then repost a story. That's an abuse of deletion and we penalize accounts that do much of it. Instead, use a different URL.
Your "while I'm at it" comment contained one rather specific rule that can penalize accounts. I (and presumably the parent) would much prefer a centralized list of guidelines, rather than trying to remember tidbits of advice sprinkled throughout threads.
(Please don't abuse this, though; accounts that repost too much lose their submission privileges.)