Should I use SSL on my database server?
(Note: I will be using SSL synonymously for SSL/TLS)
I have no idea whether you should or should not but most likely, yes. Are you interested in securing the confidentiality of your transactions? Then use SSL. Is your database is on a separate system and has a public facing IP? Then use SSL.
There are some situations and network configurations where using SSL isn't as important (static routed IPs and the like), but it's still considered a best practice. Since you're hosting on a public provider odds are that you don't have one of those situations anyway.