

Q1: Can this card's On Play When Digivolving When Attacking effect suspend a different card from the one that's given "can't unsuspend until their turn ends?
Yes, it can.
Q2: Does this card's All Turns effect also trigger when this card itself is played by an effect or when one of my Digimon in the battle area would digivolve into this card by an effect?
Yes, it triggers.
Q3: If this card's All Turns effect triggers, do I have to process "De-Digivolve 1 1 of your opponent's Digimon"?
Yes, you have to process it. However, "then, this Digimon and 1 of your opponent's Digimon may battle" is optional and you may choose whether or not to process it.
Q4: What does "may battle" mean, exactly?
This effect directly performs a battle. If this effect is activated, the chosen Digimon battle, as with the standard rules.
Q5: If 2 Digimon including a Digimon that has an "effects don't affect" effect are chosen for a "may battle" effect, can those Digimon battle?
Yes, they can battle. A card that has an "effects don't affect" effect can still be chosen for an effect. In addition, a battle itself is a rule that compares DP, not an effect. Therefore, a Digimon that isn't affected by effects can be chosen, and then it can battle. If it loses the battle, it will be deleted as normal according to the rules.
Lv.6 Callismon BT25-058 R Mega | Virus | Dark Animal/Iliad/TS <Reboot> <Blocker> <Fortitude> (When this Digimon with digivolution cards is deleted, play this card without paying the cost) [On Play] [When Digivolving] [When Attacking] [Once Per Turn] You may suspend 1 of your opponent's Digimon or Tamers. Then, 1 of their Digimon or Tamers can't unsuspend until their turn ends. [All Turns] [Once Per Turn] When effects play or digivolve any Digimon, <De-Digivolve 1> 1 of your opponent's Digimon. Then, this Digimon may battle 1 of your opponent's Digimon. ---
Lv.6 Callismon BT25-058 R Mega | Virus | Dark Animal/Iliad/TS [Digivolve] Lv.5 w/[TS] trait: Cost 4 <Reboot> <Blocker> <Fortitude> (When this Digimon with digivolution cards is deleted, play this card without paying the cost) [On Play] [When Digivolving] [When Attacking] [Once Per Turn] You may suspend 1 of your opponent's Digimon or Tamers. Then, 1 of their Digimon or Tamers can't unsuspend until their turn ends. [All Turns] [Once Per Turn] When effects play or digivolve any Digimon, <De-Digivolve 1> 1 of your opponent's Digimon. Then, this Digimon may battle 1 of your opponent's Digimon. --- -
Lv.6 Callismon BT25-058 R mega | Virus | Dark Animal/Iliad/TS [Digivolve] Lv.5 w/[TS] trait: Cost 4 <Reboot> <Blocker> <Fortitude> (When this Digimon with digivolution cards is deleted, play this card without paying the cost) [On Play] [When Digivolving] [When Attacking] [Once Per Turn] You may suspend 1 of your opponent's Digimon or Tamers. Then, 1 of their Digimon or Tamers can't unsuspend until their turn ends. [All Turns] [Once Per Turn] When effects play or digivolve any Digimon, <De-Digivolve 1> 1 of your opponent's Digimon. Then, this Digimon may battle 1 of your opponent's Digimon.
Lv.6 カリスモン BT25-058 R 究極体 | ウィルス種 | 魔獣型/イリアス/TS ≪再起動≫≪ブロッカー≫≪不屈≫ 【登場時】【進化時】【アタック時】[ターン1回]相手のデジモン/テイマー1体をレストできる。その後、相手のターン終了まで、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]デジモンが効果で登場/進化したとき、相手のデジモン1体を≪退化1≫。その後、このデジモンと相手のデジモン1体でバトルできる。 ---