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Welcome, I am Cory. Thank you for asking your question today.
Do you know what model Kindle it is?
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By the time you change the charging port, it will cost as much as getting a replacement. It sounds like you may have a Kindle Keyboard. You can buy one on eBay for about $25 including shipping.
You can find it here. - http://www.ebay.com/itm/172387591005 or search Kindle Keyboard on Ebay.
When you register another Kindle, you will not lose the books you have already purchased as they are stored with Amazon.
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I am following up to find out if you need further help with this.