Hello and sorry you're having problems. When the display on the Fire HD is cracked/shattered, it generally requires the top glass as well as the Digitizer to be replaced to fix it. The top screen shattering can actually damage the digitizer as well. This is not a cheap repair (generally in the $150 range) but the site below does specialize in this type of repair and can fix the Kindle for you. Click the link below and then select the model you have to see pricing. The addresses on that page also show you where the closest one to mail it in for repairs is:
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