Q1: I use the Security effect to play this card, then it was deleted during that same turn. In such cases, can I return this card from my trash to my hand at the end of the turn?
No, you can't. In such cases the card remains placed in your trash.
Q2: When an opponent's Digimon isn't deleted by this card's On PlayWhen Attacking effect, can I specify 1 of my opponent's suspended Digimon and prevent it from unsuspending during my opponent's next unsuspend phase?
Yes, you can.
Q3: What happens if this card is flipped over upon a security check from an opponent's Digimon's attack in a state where a "your opponent's Security effects don't activate" effect has activated?
Since the Security effect didn't activate, the battle proceeds normally. At the end of the battle, this card is trashed.
Lv.6 MedievalGallantmon EX4-013 SR Mega | Data | Warrior [Security] Play this card without battling and without paying the cost. At the end of the turn, return this Digimon to your hand. [On Play] [When Attacking] Delete 1 of your opponent's Digimon with 6000 DP or less. If no Digimon was deleted by this effect, suspend 1 of your opponent's Digimon, and that Digimon doesn't unsuspend during your opponent's next unsuspend phase.
Lv.6 MedievalGallantmon EX4-013 SR Mega | Data | Warrior [Security] Play this card without battling and without paying the cost. At the end of the turn, return this Digimon to your hand. [On Play] [When Attacking] Delete 1 of your opponent's Digimon with 6000 DP or less. If no Digimon was deleted by this effect, suspend 1 of your opponent's Digimon, and that Digimon doesn't unsuspend during your opponent's next unsuspend phase.
Lv.6 MedievalGallantmon EX4-013 SR Mega | Data | Warrior {{Security|battlewithout}}. Return this Digimon to your hand at the end of the turn. [On Play] [When Attacking] Delete 1 of your opponent's Digimon with 6000 DP or less. If no Digimon was deleted by this effect, suspend 1 of your opponent's Digimon, and that Digimon doesn't unsuspend during their next unsuspend phase.
Lv.6 メディーバルデュークモン EX4-013 SR 究極体 | データ種 | 戦士型 【セキュリティ】バトルを行わずに、このカードをコストを支払わずに登場させる。このターン終了時に、このデジモンを手札に戻す。 【登場時】【アタック時】DP6000以下の相手のデジモン1体を消滅させる。この効果で消滅しなかったなら、相手のデジモン1体をレストさせ、そのデジモンは次の相手のアクティブフェイズではアクティブにならない。