[Bloody Sam Roberts]

When people prepare the dead don't they wash the face at least?

Good question. But if I recall correctly The Crucifixion and burial took place very close to Shabbat. If that were the case, there may not have been time before sundown to properly prepare the body at the time as no Jew of that period (or this one for that matter) would have done any of that work on Shabbat.

Wasn't it during Pesach (Passover) as well?

[RaceBannon]

Jesus was killed at the same time as the Passover Lamb was killed. On Wednesday.