No issues with the Postgres - it's rock-solid so far (100% uptime over 6ish months). Most DBs are going to be a SPOF, unless you're willing to go into a distributed/replicated DB setup (which for my use case, I'm definitely not - I'd rather be down for an hour once in a blue moon).
It's an API consumed by the game client, no user-facing webpages.
It's an API consumed by the game client, no user-facing webpages.