

Q1: Can this card's On Play When Digivolving effect give "can't unsuspend" to a card that was not suspended by it?
Yes, it can.
Lv.5 Piximon BT26-043 C Ultimate | Data | Fairy/DM/Ver.4 <Blocker> [On Play] [When Digivolving] Suspend 1 of your opponent's Digimon or Tamers. Then, by placing your deck's top card face down as this Digimon's bottom digivolution card, for each of this Digimon's face-down digivolution cards, 1 of your opponent's Digimon or Tamers can't unsuspend until their turn ends. --- [All Turns] [Once Per Turn] When any of your Digimon are played, you may suspend 1 of your opponent's Digimon.
Lv.5 Piximon BT26-043 C Ultimate | Data | Fairy/DM/Ver.4 [Digivolve] Lv.4 w/[DM] trait: Cost 3 <Blocker> [On Play] [When Digivolving] Suspend 1 of your opponent's Digimon or Tamers. Then, by placing your deck's top card face down as this Digimon's bottom digivolution card, for each of this Digimon's face-down digivolution cards, 1 of your opponent's Digimon or Tamers can't unsuspend until their turn ends. --- [All Turns] [Once Per Turn] When any of your Digimon are played, you may suspend 1 of your opponent's Digimon.
Lv.5 Piximon BT26-043 C ultimate | Data | Fairy/DM/Ver.4 [Digivolve] Lv.4 w/[DM] trait: Cost 3 <Blocker> [On Play] [When Digivolving] Suspend 1 of your opponent's Digimon or Tamers. Then, by placing your deck's top card face down as this Digimon's bottom digivolution card, for each of this Digimon's face-down digivolution cards, 1 of your opponent's Digimon or Tamers can't unsuspend until their turn ends. --- [All Turns] [Once Per Turn] When any of your Digimon are played, you may suspend 1 of your opponent's Digimon.
Lv.5 ピッコロモン BT26-043 C 完全体 | データ種 | 妖精型/DM/Ver.4 ≪ブロッカー≫ 【登場時】【進化時】相手のデジモン/テイマー1体をレストさせる。その後、自分のデッキの上から1枚をこのデジモンの進化元の下に裏向きで置くことで、相手のターン終了まで、このデジモンの裏向きの進化元1枚ごとに、相手のデジモン/テイマー1体はアクティブにならない。 --- 【お互いのターン】[ターン1回]自分のデジモンが登場したとき、相手のデジモン1体をレストできる。