Mr Amaaz is charged with causing actual bodily harm to a male and a female PC.
He is also alleged to have assaulted another female officer by beating.
The 20-year-old also faces a common assault count against a member of the public, Abdulkareem Ismael, at the airport on the same date, but that allegation was not put to him.
His brother, Mr Amaad, is charged with causing actual bodily harm to a male police officer.
The Crown Prosecution Service (CPS) said no charges would be brought against any of the officers after the case was reviewed by experts.
Two of officers remain under investigation by the Independent Office for Police Conduct (IOPC) watchdog over potential misconduct.
One of the officers had been suspended but that suspension was later lifted by GMP Chief Constable Stephen Watson.