I guess you have used the demo database for your store, right?
The errors you have are from the Scheduled Tasks in nopCommerce.
They make requests to the Store and your store URL seems to be set to the urban theme demo instead of your real Store URL.
Please update the store url from the Stores in the Administration of nopCommerce.
These errors are not related to any shut down of the website.
p.s: You should not use the Demo database for a production website.
Unfortunately this is not supported in the Ajax Filters.
filtersPageParameters.CategoryId = int.Parse(_requestContext.RouteData.Values["categoryid"].ToString());