Hi there and welcome to Just Answer. I'm sorry to hear about your Kindle. I will try and answer your question precisely and accurately.
Here is the quick version.
Connect your Kindle to your WiFi in your home.
Then, on your PC, create an account on Amazon.com
Register the Kindle to your new account via either the newly connected Kindle or the PC.
So. Where do you need help?
Let's start at the beginning. Do you have WiFi in your home?
Do you know your WiFi password? This is also known as an encryption key.
Is the Kindle asking you for this?
I don't know what that means.
Is the Kindle seeing your WiFi network (the SSID)?
Watch this video. Tell me how far you get.
Ok. So do you or do you not, have a wireless router in your home?
Do you have WIFI?
verizon says I have wifi through my internet and cable router
Now go back to that video and you are looking for an SSID called edyg6.
Click on that and then when prompted, put in the 10 digit key.