Q1: When exactly is the timing when this card's Trash Your Turn effect triggers?
It triggers at the timing when this card is in the trash and your level 6 Digimon with Pulsemon in its text is played. Trash means that an effect can trigger and activate when the card is in the trash.
Lv.7 Fenriloogamon: Takemikazuchi BT17-101 SEC Mega | Virus | Dark Animal/X Antibody/SoC [DNA Digivolution] [Fenriloogamon] + [Kazuchimon]: Cost 0 [Trash] [Your Turn] When one of your level 6 Digimon with [Pulsemon] in its text is played, 2 of your Digimon may DNA digivolve into this card. [When Digivolving] 1 of your opponent's Digimon gets -16000 DP for the turn. If DNA digivolving, you may set the memory to 3 on your opponent's side. Then, if a Tamer card is in this Digimon's digivolution cards, gain 1 memory and <Recovery +1 (Deck)>. [When Attacking] By trashing the top card of your security stack, trash the top card of your opponent's security stack.
Lv.7 Fenriloogamon: Takemikazuchi BT17-101 SEC Mega | Virus | Dark Animal/X Antibody/SoC [DNA Digivolution] [Fenriloogamon] + [Kazuchimon]: Cost 0 [Trash] [Your Turn] When one of your level 6 Digimon with [Pulsemon] in its text is played, 2 of your Digimon may DNA digivolve into this card. [When Digivolving] 1 of your opponent's Digimon gets -16000 DP for the turn. If DNA digivolving, you may set the memory to 3 on your opponent's side. Then, if a Tamer card is in this Digimon's digivolution cards, gain 1 memory and <Recovery +1 (Deck)>. [When Attacking] By trashing the top card of your security stack, trash the top card of your opponent's security stack.
Lv.7 Fenriloogamon: Takemikazuchi BT17-101 SEC Mega | Virus | Dark Animal/X Antibody/SoC [DNA Digivolve] [Fenriloogamon]+[Kazuchimon]: Cost 0 [Trash] [Your Turn] When one of your level 6 Digimon with [Pulsemon] in its text is played, 2 of your Digimon may DNA digivolve into this card. [When Digivolving] 1 of your opponent's Digimon gets -16000 DP for the turn. If DNA digivolving, you may set your the opponent's memory to 3. Then, if this Digimon has a Tamer in its digivolution cards, gain 1 memory and <Recovery +1 (Deck)>. [When Attacking] By trashing the top card of your security stack, trash the top card of your opponent's security stack.
Lv.7 フェンリルガモン:建御雷神 BT17-101 SEC 究極体 | ウィルス種 | 魔獣型/X抗体/SoC 〔ジョグレス〕「フェンリルガモン」+「カヅチモン」:コスト0 [トラッシュ]【自分のターン】「パルスモン」の記述があるLv.6の自分のデジモンが登場したとき、自分のデジモン2体でこのカードにジョグレス進化できる。 【進化時】ターン終了まで、相手のデジモン1体をDP-16000。ジョグレス進化していたなら、メモリーを相手側の3にできる。その後、このデジモンの進化元にテイマーカードがあるなら、メモリー+1し、≪リカバリー+1《デッキ》≫。 【アタック時】自分のセキュリティを上から1枚破棄することで、相手のセキュリティを上から1枚破棄する。