That being said. How can I check our cert? The current cert predates my employment with the county and this is something I have never had to deal with.
If you view your website in chrome, you can click on the lock icon in the address bar. Go to the connection tab -> Click certificate information -> Details Tab.
You should see one of the entries should be signature algorithm. SHA-1 is a problem. SHA-224 or higher means the cert is on SHA-2 which is okay.
However the proper test should be done using https://www.ssllabs.com/ssltest/