Do you really mean "postgres_db_exporter", or do you mean "postgres_exporter", i.e. this one?
Maybe you have the wrong values for 'release' and 'instance' labels. What happens if you query:
pg_postmaster_start_time_seconds
without any label filters? (You can do this in prometheus's own web interface).
If that doesn't return anything, then are you getting *any* metrics from the exporter at all? For example, if your scrape job has
- job_name: 'postgres'
then you can try querying
{job="postgres"}
If that query shows nothing, then probably your scrapes aren't working at all. Look in the Prometheus web interface under Status > Targets.