I would call and ask, too be sure. I asked when I got my tattoo what age they would do cartilage piercing, for an upper ear and she said 16. Also, some places if they will do somebody under 18, will require you to have their birth certificate.
Their cost would be from $30+, and as for a "minor" you need to have parental approval and supervision unless you're over 18. State Law.
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