

Q1: A Digimon with this card in its digivolution cards attacks, and another effect trashes a card from my hand. At such times, if I activate this card's inherited effect and perform a digivolution into P-209 Titamon, can I then activate P-209 Titamon's Alliance?
No, you can't. Alliance is an effect that triggers upon an attack. You can't activate it if the Digimon doesn't have Alliance upon the attack declaration.
Q2: I trash 2 copies of this card from my hand, then I have 5 cards in my hand. At such times, if I activate the 1st effect on the 1st copy of this card and have 6 cards in my hand, can I then use the 1st effect on the 2nd copy of this card to Draw 1 again?
No, you can't. You must have 5 or fewer cards in your hand upon the actual activation timing for this card's 1st effect.
Lv.4 Ogremon BT24-045 U Champion | Virus | Demon/Titan/TS When this card is trashed from the hand, if you have 5 or fewer cards in your hand, <Draw 1>. [On Play] [When Attacking] [Once Per Turn] By trashing 1 card in your hand, suspend 1 of your opponent's Digimon. It can't unsuspend in their next unsuspend phase. --- [Your Turn] [Once Per Turn] When your hand is trashed from, this [Demon] or [Titan] trait Digimon may digivolve into [Titamon] or a [Titan] trait Digimon card in the trash with the digivolution cost reduced by 1.
Lv.4 Ogremon BT24-045 U Champion | Virus | Demon/Titan/TS [Digivolve] Lv.3 w/[Demon]/[TS] trait: Cost 2 When this card is trashed from the hand, if you have 5 or fewer cards in your hand, <Draw 1>. [On Play] [When Attacking] [Once Per Turn] By trashing 1 card in your hand, suspend 1 of your opponent's Digimon. It can't unsuspend in their next unsuspend phase. --- [Your Turn] [Once Per Turn] When your hand is trashed from, this [Demon] or [Titan] trait Digimon may digivolve into [Titamon] or a [Titan] trait Digimon card in the trash with the digivolution cost reduced by 1.
Lv.4 Ogremon BT24-045 U champion | Virus | Demon/Titan/TS [Digivolve] Lv.3 w/[Demon]/[TS] trait: Cost 2 When this card is trashed from the hand, if you have 5 or fewer cards in your hand, <Draw 1>. [On Play] [When Attacking] [Once Per Turn] By trashing 1 card in your hand, suspend 1 of your opponent's Digimon. It can't unsuspend in their next unsuspend phase. --- [Your Turn] [Once Per Turn] When your hand is trashed from, this [Demon] or [Titan] trait Digimon may digivolve into [Titamon] or a [Titan] trait Digimon card in the trash with the digivolution cost reduced by 1.
Lv.4 オーガモン BT24-045 U 成熟期 | ウィルス種 | 鬼人型/タイタン族/TS このカードが手札から破棄されたとき、自分の手札が5枚以下なら、≪1ドロー≫。 【登場時】【アタック時】[ターンに1回]自分の手札1枚を破棄することで、相手のデジモン1体をレストさせる。次の相手のアクティブフェイズでは、そのデジモンはアクティブにならない。 --- 【自分のターン】[ターンに1回]自分の手札が破棄されたとき、特徴に「鬼人型」/「タイタン族」を持つこのデジモンをトラッシュの「タイタモン」か特徴に「タイタン族」を持つデジモンカードに支払う進化コスト-1で進化できる。