"I have zero tolerance for antisemitism. It has absolutely no place in Australia," Australia's Prime Minister Anthony Albanese said.
The synagogue, which is one of the oldest in the US, was subjected to three separate incidents over a few days.
The pub has been graffitied with antisemitic slogans almost daily, including multiple pro-Hamas slogans over the past week.
The man reportedly set fire to two buildings, before ramming a store with a van and threatening people with machetes.
The police suspect that Bashir is behind more arson attacks, including a series of arson attacks at several hotspots that caused fires in a park in Carmel on Sunday and possibly previously.
Ian Pitkin, 64, was handed a life sentence after he ignited his own apartment in an attempt to harm the Jewish family living above him.
Government spokesperson Isaac Mwaura said the boys were in grades 4 to 8, putting their ages at about 9 to 13-years-old.
A French police officer was injured on Saturday when a blazing car exploded in the car park of a synagogue in the coastal town of La Grande-Motte.
Ron Carr burned down the home of the Rivas family, damaged three others, and vandalized 14 homes in an antisemitic crime spree in Manchester, New Jersey.
Signs at a synagogue and Jewish school in Toronto were set on fire Wednesday, suspected to be hate-motivated arsons by a motorcyclist.