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Something as short as “Skywalker” can’t be copyrighted. You don’t need permission to use a trademark as long as you don’t harm the brand or confuse the customer. Since trademarks are often family names, there are a number of unrelated companies that operate under the same name but in a different business.
Sure, but, also, that it’s an existing brand is simply irrelevant to a personal name. You don’t need to establish that it doesn’t damage the brand, it can even directly damage the brand in fact, it still doesn’t matter because people aren’t products.