Please fill out the fields below so we can help you better. Note: you must provide your domain name to get help. Domain names for issued certificates are all made public in Certificate Transparency logs (e.g. https://crt.sh/?q=example.com), so withholding your domain name here does not increase secrecy, but only makes it harder for us to provide help.
When I access the second link (http://kidscarehh.com/.well-known/acme-challenge/configcheck) from my laptop within the same domain as the server, I can reach it without any problem. When I tried that same link from my cell phone to try it from outside our domain, I get the same error that you receive. We have checked our firewall to see if we found any blocked packets from outside the network, but we did not find any. We have temporarily disabled HIPS protection on the antivirus software on the server itself. Do you have any suggestion where we might look next?
It turns out that the problem was with our firewall. It was blocking the packets from outside our domain. Thank you for your help troubleshooting the problem. Your post put us on the right path to get it resolved. We have been able to get the new certificate now.