I have access to it from 'My Achievements', but still I didn't receive the e-mail with the link to the PDF of the certificate.
Furthermore, in Neo4j community, I still don't have the Neo4j Certified Professional badge.
I got my NEO4J certificate after passing the exam. But didn't receive see my badge yet. Can you please advice any thing else I need to do to get the Neo4j certified Badge?
Not sure what you are referring to as badge. When you pass the exam, you get the Neo4j Certified Professional certificate that you can share with others and you are eligible for a t-shirt.
Are you are referring to the Certified Professional badge in Community?
Unfortunately, the automation that created badges in Community for Neo4j Certified Developers is currently not working. We will eventually fix this issue, but cannot guarantee when it will be fixed.