Fan does not work motor above the lights is melted on one side Model UC7051R SN#9905-099596 where and how much can I get this part. This a Hampton Bay Fan.

It does not sound cost effective to try to repair this fan. It comes from Home Depot and you can check parts with them but I'd price a new fan while you are at it.

I doubt the motor is melted. I bet you mean the black box, aka capacitor?

Ceiling Fan Capactors - Troubleshooting and Resources - Ceiling Fans 'N More

Contact Hampton Bay for replacement parts. Their number is in our sticky.

B, Home Depot doesn't have any parts for their own products.