Moses Edwards is accused with arson with intent to endanger life over the fire.
The 45-year-old man and 52-year-old woman were arrested on Sunday and taken into police custody.
The fire broke out at the former East London Central Synagogue on Tuesday morning.
Additional investment aims to keep specialised sickle cell emergency care at the Royal London Hospital.
Stallholders reject claims made by residents that the Petticoat Lane Food Court is causing issues.
Sickle cell patients say a pilot for emergency care was "so effective" but has been "snatched away".
Honor Cousens says "every day is different" volunteering at the Royal London Hospital.
Tower Hamlets said extending opening could meet "rising demand" from shift workers and young people.