Make database connections short-lived

The code used to open a database connection for each thread and leave
them open for as long as the scheduler ran. This worked reasonably well
until we moved to PostgreSQL 13 on Focal, although the scheduler would
fail if the database was restarted because there was no logic to
reconnect after a connection dropped.

On Focal/PG13 the connection for the 'cron' thread steadily consumes
memory until it has exhausted everything in the machine. This appears to
be a Postgres change rather than a Perl DBI change: the problem can be
reproduced by sitting in psql and running 'select * from backup_queue'
repeatedly. Once or twice a minute an instance of this query will cause
the connection to consume another MB of RAM which is not released until
the database connection is closed. The cron thread runs that query every
two seconds. My guess is it's something peculiar about the view that
query selects from - the time interval thing is interesting.
This needs more investigation.

But in the meantime I'd like to have backup servers that don't endlessly
gobble RAM, so this change makes the threads connect to the database
only when they need to, and closes the connection afterwards. This
should also make things work better over database restarts but that's
not been carefully tested.