Q1: Does this card's Your Turn effect trigger when this card is played by another card's effect?
Yes, it triggers.
Lv.3 Terriermon BT17-043 C Rookie | Vaccine | Beast [Your Turn] [Once Per Turn] When an effect plays one of your [Terriermon], [Lopmon] or green Tamers, you may suspend 1 of your opponent's Digimon. --- Inherited: [All Turns] While this Digimon is suspended, it gets +1000 DP.
Lv.3 Terriermon BT17-043 C Rookie | Vaccine | Beast [Your Turn] [Once Per Turn] When an effect plays one of your [Terriermon], [Lopmon] or green Tamers, you may suspend 1 of your opponent's Digimon. --- Inherited: [All Turns] While this Digimon is suspended, it gets +1000 DP.
Lv.3 Terriermon BT17-043 C Rookie | Vaccine | Beast [Your Turn] [Once Per Turn] When an effect plays one of your [Terriermon] or [Lopmon] or green Tamers, you may suspend 1 of your opponent's Digimon. --- Inherited: [All Turns] While this Digimon is suspended, it gets +1000 DP.
Lv.3 テリアモン BT17-043 C 成長期 | ワクチン種 | 獣型 【自分のターン】[ターンに1回]効果で自分の「テリアモン」/「ロップモン」か緑のテイマーが登場したとき、相手のデジモン1体をレストできる。 --- Inherited: 【お互いのターン】このデジモンがレスト状態の間、このデジモンをDP+1000。