Ad 3: The fall from the parapet of the temple reminds us of the fall at the stoning.
Aesop, the teller of fables, was thrown down a hill by the Delphinians because of alleged sacrilege (vita 141); the same fate threatens Jesus in Luke 3, 29. The matter is as follows: until Herod Antipas’ days the lower classes were under the jurisdiction of the aristocracy.
The tetrarch changed this: he took over the jurisdiction of all people in his country. Thus he could guarantee civil rights for all the inhabitants. Jesus was given immunity: he was to enforce the described change of jurisdiction in Galilee.
So the Jewish aristocracy lost a part of its influence over the non-Jewish lower-class people of the province.
Appointing Jesus as governor in Galilee and Perea turned out to be a clever move
for Herod Antipas. If Jesus failed, Antipas could dismiss him as guilty and himself had a clean record. If Jesus succeeded, the tetrarch could give himself credit for success. The extended Temptation in Matt 4 and Luke 4 can be seen as an employment contract.
Three points were agreed: 1. bread, 2. rule, 3. personal security. In the narration Jesus himself is the beneficiary, but in the historical situation he was intended to give these benefits to the inhabitants of Galilee.
It was a question of securing the reign of Herod Antipas, to reduce the power of the aristocracy and gain the lower classes as a power basis for the monarchy.
Ad 1: In the Ancient World the number one rule for keeping power was the following: avoid famine riots. In premodern societies the social policy was to supply grain in sufficient quantity and to keep prices low.