Build Website

Hi, I was wondering if this is something you could do. I need a site rebuilt. The site is www.mediviral.com. It was hosted by Go Daddy and its a long story but the site is gone and they can't retrieve it. But there is a copy on wayback machine. The customer service guy said there was from Nov 2013 and that is perfect because the site was never changed. The domain is currently on godaddy and the original hosting was with godaddy. When I tried to connect new hosting to the domain, the tech told me that they currently can’t because the old hosting is still attached and something was currently down that prevented them from disconnecting the hosting. If you have any ideas how to fix or get around this, that would be great. I would be open to moving the domain and would welcome any suggestions for hosting. If someone can replicate the pages on wayback that would be great. A lot of the files have the code attached. The code used was magento but you don’t have to use that. It can be wordpress or whatever is the easiest and cheapest. The [login to view URL] site was also connected to a shopping cart, automationwhiz. Again, we don’t have to use that cart. Whatever is easiest. I saved the pages from Wayback and they are attached. Also, I would need to update the mailing address. I could not find a capture for the "Account" and "Checkout" pages. When clicked, they just lead to the Order page. Please let me know if this is something you can do, how long it will take, and how much it will cost. Thank you.