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I think you should leave the patina, if you can accept it. Gives it some character and it can be terribly hard to remove.

No, unless you notice spots returning after a day. In that case, I would oil it up lightly with mineral oil. If you ensure it is dry before you put it away (in a dry place ;)) you'll be fine....

Keep in mind that if you polish at the edge, you will have to hone her up again! To prevent polish touching the edge, you can get very close with q-tips.

Good luck!