Two great tools to check how well your SSL Certificate is installed are:
1) SSL Server Test
2) Why No Padlock?

You only have to paste your https URL to get a free report and an A++ to F grade on your SSL Certificate installation. These tools will tell you what are the vulnerabilities of your SSL Certificate installation, and will offer you detailed information on how to fix them.

We also recommend you to read our article called: How to move your website from HTTP to HTTPS easily and with no pain.