Q1: If this card's Start of Your Main Phase On Play effect "If this effect did not trash" is "Recovery +1 Deck" if it did not trash which?
The opponent can trash one of his own security cards from the top, and if the opponent fails to do so, the "Recovery +1 《Deck》" is performed.
Lv.3 Lucemon BT18-034 R Rookie | Vaccine | Angel [Digivolve] [Cupimon]: Cost 5 [Start of Your Main Phase] [On Play] By trashing 1 card in your hand, your opponent may trash their top security card. If this effect didn't trash, <Recovery +1 ≪Deck≫>. [End of Your Turn] [Once Per Turn] By placing 1 of your level 6 Digimon as the top security card, this Digimon may digivolve into [Lucemon: Chaos Mode] in your trash without paying the cost.
Lv.3 Lucemon BT18-034 R Rookie | Vaccine | Angel [Digivolve] [Cupimon]: Cost 5 [Start of Your Main Phase] [On Play] By trashing 1 card in your hand, your opponent may trash their top security card. If this effect didn't trash, <Recovery +1 ≪Deck≫>. [End of Your Turn] [Once Per Turn] By placing 1 of your level 6 Digimon as the top security card, this Digimon may digivolve into [Lucemon: Chaos Mode] in your trash without paying the cost.
Lv.3 Lucemon BT18-034 R Rookie | Vaccine | Angel [Digivolve] [Cupimon]: Cost 5 [Start of Your Main Phase] [On Play] By trashing 1 card in your hand, your opponent may trash their top security card. If this effect didn't trash, <Recovery +1 (Deck)>. [End of Your Turn] [Once Per Turn] By placing 1 of your level 6 Digimon on top of your security stack, this Digimon may digivolve into [Lucemon: Chaos Mode] in your trash without paying the cost.
Lv.3 ルーチェモン BT18-034 R 成長期 | ワクチン種 | 天使型 「キュピモン」:コスト5 【自分のメインフェイズ開始時】【登場時】自分の手札1枚を破棄することで、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》≫。 【自分のターン終了時】[ターンに1回]Lv.6の自分のデジモン1体をセキュリティの上に置くことで、このデジモンをトラッシュの「ルーチェモン:フォールダウンモード」にコストを支払わずに進化できる。