I'm not that familiar with auctions but here is some info from the ebay help pages:
We charge an insertion fee (or count it as a zero insertion fee listing) for the original auction-style listing. If you're a non-business seller, the automatic relists are free. If you're selling on eBay as a business, we charge an insertion fee (or count it as a zero insertion fee listing ) each time the item is relisted.
https://www.ebay.com/help/selling/listings/creating-managing-listings/relisting-items?id=4147
The way that I read it you won't be charged for automatic relists if you are a non business seller.
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