Web Site Certificate/SSL Tests
I have found the following two sites helpful in finding issues with the configuration of SSL secured web sites
https://ssltools.digicert.com/checker/
https://www.ssllabs.com/ssltest/analyze.html
Test which ciphers (TLS, SSL, etc) are enabled
nmap -sV --script ssl-enum-ciphers -p 443 www.yourdomain.com