My opponent attacks with 2 Serra Angels. I have only an Archon of Justice.
I block one Angel with the Archon. The Archon dies as a result and chooses the remaining Angel as the permanent to send into exile (his ability being that when he dies he exiles target permanent).
Do I still get the 4 damage from the Angel before it is exiled?
Sengir Vampire gets +1+1 for every creature it kills per turn. He's a 4/4 creature. If he was blocked by 4 Bloodhunter Bats (1/1) when would he get his plus 1s for killing them (ie would he survive the experience?)
All combat damage happens concurrently (that is, happens at the same time).
In the first example, the soon-to be exiled angel would still hit you for four.
In the 2nd example, the bats and the vampire would both die. When something goes to the graveyard 'after combat' it's a separate trigger.