Isa (AS) dead or alive. In the light of Quran and Hadith.

1) The soul's purpose is not in association of the body anyway so the question is mute.

2) I don't know

3) The likelihood is that since Resurrection has not yet taken place that everyone who has died is either in Barzakh in the soul, as the green bird in heaven if died a martyr, or in heaven as a soul if prophet, it does not negate the body being present afte Judgement.

4) There is a waiting time but that time seems like a small duration. Yes, Allah (SWT) treats prophets and martyrs differently.