Q1: If the opponent does not trash the security card by this card's Opponent's Turn effect, which player will play "Recovery +1 Deck"?
I <Recovery +1 <Overflow X>.
Q2: I am in a situation where I have 0 security. If I activate the Main effect of this card, will it delete the opponent's Digimon so that there are 0 Digimon?
Yes, it will be deleted so that there are zero bodies.
Q3: The Main effect of this card attempted to delete the opponent's "EX6-059 Barbamon". In response to that deletion, my opponent used "Scapegoat" of "EX6-059 Barbamon" to delete other Digimons of his own, so "EX6-059 Barbamon" did not disappear. In this case, does this card satisfy the "if it was deleted by this effect" condition?
No, the condition is not satisfied. The condition "if deleted by this effect" is satisfied when the card is deleted by the effect of this card. In this situation, "EX6-059 Barbamon" was not deleted by the effect of this card, so the condition "if it was deleted by this effect" is not satisfied.
Seventh Divine Cruz BT19-094 R Seven Great Demon Lords [Trash] [Your Turn] When any of your Digimon digivolve into [Lucemon (X Antibody)], by returning this card to the bottom of the deck, your opponent may trash their top security card. If this effect didn't trash, <Recovery +1 ≪Deck≫>. [Main] Delete your opponent's Digimon until they have as many as you have security cards. If this effect deleted, <Recovery +1 ≪Deck≫>. --- [Security] You may play 1 [Lucemon] from your trash without paying the cost.
Seventh Divine Cruz BT19-094 R Seven Great Demon Lords [Trash] [Your Turn] When any of your Digimon digivolve into [Lucemon (X Antibody)], by returning this card to the bottom of the deck, your opponent may trash their top security card. If this effect didn't trash, <Recovery +1 ≪Deck≫>. [Main] Delete your opponent's Digimon until they have as many as you have security cards. If this effect deleted, <Recovery +1 ≪Deck≫>. --- [Security] You may play 1 [Lucemon] from your trash without paying the cost.
Seventh Divine Cruz BT19-094 R Seven Great Demon Lords [Trash] [Your Turn] When any of your Digimon digivolve into [Lucemon (X Antibody)], by returning this card to the bottom of the deck, your opponent may trash their top security card. If this effect didn't trash, <Recovery +1 (Deck)>. [Main] Delete your opponent's Digimon until they have as many as the number of your security cards. If this effect deleted, <Recovery +1 (Deck)>. --- [Security] You may play 1 [Lucemon] from your trash without paying the cost.
セブンス• ディバイン• クルス BT19-094 R 七大魔王 [トラッシュ]【自分のターン】自分のデジモンが「ルーチェモンX抗体」に進化したとき、このカードをデッキの下に戻すことで、相手は自身のセキュリティを上から1枚破棄できる。この効果で破棄しなかったなら、≪リカバリー+1《デッキ》≫。 【メイン】自分のセキュリティ枚数と相手のデジモン体数が同じになるように、相手のデジモンを消滅させる。この効果で消滅したなら、≪リカバリー+1《デッキ》≫。 --- 【セキュリティ】自分のトラッシュから、「ルーチェモン」1枚をコストを支払わずに登場できる。