Portuguese Club clinched third place in Jersey's Championship without having to kick a ball.
They were awarded three points after opponents Jersey Nomads failed to raise a team.
Rivals St Martin went down 5-0 at champions St Brelade.
James Walsh got a hat-trick for St Brelade while Beeches' 8-2 win at St John meant St Martin, who had challenged at the top of the league for much of the season, finished fifth.
Jonny Gough scored four for Beeches while Dan Huddleston hit two.
In the day's other game second-placed St Lawrence ended the season with a 2-1 loss at St Clement.