Total Damage After a Turn & Total Damage After Battle Won

There's no built-in functionality for that, but you can use status value change events to keep track of those metrics.

Not exactly the same, but this tutorial uses a similar approach to collect exp changes and show them as one flying text.
Similar to that, you can store the change value into global variables (or add them on combatant object variables to have them tracked per combatant) and display them as needed, e.g. via battle turn end schematics showing a dialogue with those values.

Make sure you're using Local variables and Int type (though the newer ORK 3 versions should also provide it as Float).

You can show them via text codes - the More button above the text area (while editing text) shows more text code options, e.g the Variables.
Make sure to use the Local variable origin in the Show Dialogue node.