3. The condemnation of Jesus by Jewish courts is connected to the dismissal of the governor Jesus. In the legend it dramatically comes before the sentencing of Pilate.

4. The sentencing of Pilate and the crucifixion are facts in history. There was no trial in Rome, but probably Pilate protested his innocence to everybody, hence the narratives of the bad dream of his wife and about him washing his hands of it, Matt 26, 19.24. 5.  

Groups of Christian women (Mary) refused the damnatio memoriae (prohibition of memory of the dead) and supported an honourable burial, so that the soul could settle down after the death into the underworld, see Sophocles, Antigone.