Sin is objective because it is disobedience to universal moral imperatives. God's righteousness proceeds from His perfect character. God does not will that humans sin; humans are created with free will and thus willfully chose sin. God's sovereignty does not compel him to create automata.
God, as a transcendent being, must be morally perfect owing to his perfect judgement and perfect omniscience. All of the things you attribute to the gods of Olympus can just as easily be said to point to the existence of God as described in Christianity. The argument from design demonstrates the necessity of a transcendent Being but is silent on that Being's identity.
The argument from design can just as easily used in favor of the Christian God. Moreover, adherents of the Israelite or Jewish religion proselytized as late as the Hasmonean era, and enough Romans were interested in Hebrew monotheism that such individuals became a significant demographic recruited by the early Christian Church.
As for the resurrection of Christ, His body must have been absent from His tomb else the authorities in Judea could have presented it to quell the growth of Christianity. His disciples are extremely unlikely to have stolen it due to the presence of Roman soldiers guarding the tomb and the improbability of the apostles dying for a nearly universally despised cause if they knew it to be fundamentally built on a lie.
Italia and Africa under the Goths and Vandals weren't exactly empty but, regardless, the Exarchate of Africa remained firmly under Byzantine rule until the Islamic invasions, and even the Exarchate of Ravenna remained in Eastern Roman hands for over a century and a half. Given the Eastern Romans' restored domination of the Mediterranean, I'd certainly say that they were an empire that mattered.
That is not taught by the Scriptures and is rejected by all Christian churches except those professing the Calvinist tradition.
Insults are the refuge of those without the backing of reason.
The resurrection of Christ provides historical evidence on which Christianity can be proven or denied.
What evidence do you present for the existence of the Olympians beyond unbacked content of Hellenic epics?
