It's most probably your site error are 404 "Not found" messages. You need to take care about those errors. There will be cases where they are just wrong pages that it was bad typed or whatever, but some of those 404 you need to redirect to the correct page, using an 301 o 302 redirect.
About the messages of "DNS - couldn't communicate with the DNS server" and 0 error notificaction and 0 error on the graph below, it's just informative. But you need to take care that your site is online, and your DNS service is ok, with the "green tick"