The father and brother of Son have been ordered to complete 40 hours of educational sessions on child abuse.
Tottenham played more than 80 minutes with 10 men after defender Radu Dragusin was sent off in just seven minutes.
Tottenham Hotspur vs Arsenal Highlights, Premier League 2024-25: Arsenal move up to second in the Premier League table.
Tottenham Hotspur vs Arsenal LIVE Telecast: Premier League 2024-25
Manchester United crashed to a last-gasp 2-1 defeat against Brighton and an Erling Haaland's hat-trick fired Premier League champions Manchester City to a 4-1 win against Ipswich on Saturday.
The win takes Pep Guardiola's team two points clear of Arsenal at the top of the table after 37 games.
Fifth-placed Tottenham's third successive defeat leaves them seven points behind fourth-placed Aston Villa.
Ao Tanaka scored the only goal after two minutes to give Japan a nervy 1-0 win over North Korea.
Son Heung-min and South Korea must move on from their turbulent Asian Cup when they return to World Cup qualifying Thursday.
Son Heung-min apologised for his role in a bust-up with South Korea team-mate Lee Kang-in at the Asian Cup and urged fans to forgive the Paris Saint-Germain player.