Smite damage?

[Andrew the Legit Single-Player]

will the additional ed and dmg show in my charecter screen?
[right][snapback]93924[/snapback][/right]

Depends. The %enhanced damage generally will,
the +damage from Astreon's Ward/Grief/etc. will not.

The only way to be really sure how much damage you character
is inflicting is to test it under controlled conditions.
Start a game, spawn a few monsters at players=1, and kill them.
Note how many hits it takes. Then move up to players=2, spawn
a few more, and repeat. Take copious notes.

Or you could test against a cooperative friend in PvP, but this
has obvious limitations if you are playing hardcore...
...plus PvP adds its own quirks and complexities.