Q1: Does this card's All Turns effect trigger when this Digimon is suspended by either my effect or my opponent's effect?
Yes, it triggers. It triggers regardless of the player that activated the suspending effect.
Lv.3 Muchomon ST18-05 U Rookie | Avian [All Turns] [Once Per Turn] When effects suspend this Digimon, 1 of your Digimon with [Avian] or [Bird] in any of its traits or the [Vortex Warriors] trait gets +3000 DP until the end of your opponent's turn. --- Inherited: <Piercing> (When this Digimon attacks and deletes your opponent's Digimon in battle, it checks security before the attack ends.)
Lv.3 Muchomon ST18-05 U Rookie | Data | Avian [All Turns] [Once Per Turn] When effects suspend this Digimon, 1 of your Digimon with [Avian] or [Bird] in any of its traits or the [Vortex Warriors] trait gets +3000 DP until the end of your opponent's turn. --- Inherited: <Piercing> (When this Digimon attacks and deletes your opponent's Digimon in battle, it checks security before the attack ends.)
Lv.3 Muchomon ST18-05 U Rookie | Data | Avian [All Turns] [Once Per Turn] When this Digimon is suspended by an effect, 1 of your Digimon with [Bird] in one of its traits or with the [Vortex Warriors] trait gets +3000 DP until the end of your opponent's turn. --- Inherited: <Piercing> (When this Digimon attacks and deletes an opponent's Digimon, it performs any security checks it normally would.)
Lv.3 ムーチョモン ST18-05 U 成長期 | データ種 | 鳥型 【お互いのターン】[ターンに1回]このデジモンが効果でレストしたとき、相手のターン終了まで、特徴に「鳥」を含むか特徴に「ヴォルテクスウォリアー」を持つ自分のデジモン1体をDP+3000。 --- Inherited: ≪貫通≫(このデジモンがアタックしたバトルで相手のデジモンを消滅させたとき、アタック終了前にチェックする)