It refers to a card that contains the specified text or icon in its name, traits, effects, inherited effects, (Rule), digivolution requirements, DNA digivolution, DigiXros requirements, burst digivolve, App Fusion, Link, or Assembly requirements. For example, a card with [Knightmon] in its text would include cards with the name [DarkKnightmon] and cards with the text [Knightmon] in their effects.

It triggers when the battle is won. When the Digimon with this effect wins a battle, the opponent's Digimon that lost the battle is deleted, then the "when this Digimon wins a battle" effect can be activated.

Yes, it triggers.

They trigger simultaneously, so the turn player can activate their effects first.

The "when this Digimon would be deleted" and "when this Digimon would leave the battle area" effects can be activated first.

Yes, it can be activated.