Shakespeare is criticizing this martial society that values violence as proof of manhood and he's also trying to warn the Nobles not to change society by killing the King
Shakespeare is writing about patriarchal society and how male violence again is ruining the lives of men and women and that's what kills the Two Lovers
Shakespeare is writing about kingship and absolute power and happiness is only achieved once Prospero relinquishes absolute power and hands over to a younger generation
The idea that everything is in its natural order with God at the top followed by the Angels followed by who is appointed as king or queen followed by the Nobles followed by the merchants followed by the normal people at the bottom and then animals
The Catholic idea that we are all born with the sin of Adam and Eve when they defied God and started eating of the tree of the knowledge of Good and Evil
Shakespeare always tries to restore the natural order and when you examine the ending you can see whether he wants a Christian Society what kind of ruler he wants to rule it
Shakespeare's characters think for themselves and try to work out what decision they should make, what choice would be good and what choice would be evil