New user - questions about acceptance, optimization and statistics

I've solved two problems on leetcode so far. The first solutions were "Accepted", but in the process of optimizing the solutions, I got several "Accepted" and "Wrong answer" statuses on the list.

My questions are:

  • Is Wrong answer counted as a bad thing?
  • Will my statistics be punished for trying to optimize accepted answers?
  • When optimizing an answer so that it's faster than 100% of accepted answers, with a 0ms runtime, is that a fluke?
  • If an answer is optimized and you wish to show off to the world that you optimized it, is there a per-problem highscore list somwhere?
  • What is the metagame here, is it to try to get no Wrong answers, or is it just the contests that "count"?
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