Judge Charles Blackie, who imposed a 13-and-half-year jail sentence with a minimum non-parole period of half that term, said Falakoa's offending had "left a trail of
of traumatised victims" in his wake.
Falakoa appealed his sentence on the grounds that the discounts allowed by Judge Blackie for his guilty pleas, mental health issues and remorse were "inadequate".
During an earlier Court of Appeal hearing, Falakoa's legal counsel argued a discount of 30 per cent rather than the 25 per cent should have been allowed.
The Court of Appeal disagreed saying 30 per cent "could well be seen as unduly lenient".
Falakoa has continued to argue his overall sentence was "excessive", and complained discounts should have been given for his mental health issues and remorse.
The Supreme Court disagreed.
"We are conscious that the sentence imposed was severe ... We have reached the view that the proposed appeal raises no issues of public or general importance and there is no appearance of a miscarriage of justice," the judgment said.
Falakoa also challenged his conviction for using a firearm against a police officer.
He argued that he should have been prosecuted until a different subsection of the Crimes Act which had a lower maximum penalty.
The Supreme Court rejected the submission.
Falakoa had also not advanced anything to suggest there were exceptional circumstances to warrant granting him leave to appeal directly to the court, the ruling said.
His application for leave to appeal was dismissed.