Q1: If I use this card’s When Digivolving effect to place Doomsday Clock from my hand or trash as a digivolution card, can I choose to not play Diaboromon Tokens?
Yes, you can. This effect reads "you may play," so if you perform the conditions specified for "by X," you may choose whether or not to activate the effect shown in text.
Q2: Does the inherited effect on a card like BT2-059 Kurisarimon or BT2-053 Keramon trigger twice when I use this card's When Digivolving effect to play 2 Diaboromon Tokens?
No, it doesn't. You can play 2 Diaboromon Tokens, but they are played at the same time during a single timing, therefore the effect only triggers once.
Q3: Can I also use this card's Opponent's Turn effect to switch the attack target to my unsuspended Digimon with {{EffectLinkArchetype|Diaboromon}}?
Yes, you can.
Lv.6 Diaboromon BT17-059 R Mega | Unknown | Unidentified [When Digivolving] By placing 1 [Doomsday Clock] from your hand or trash as this Digimon's bottom digivolution card, you may play 2 [Diaboromon] Tokens without paying the cost. (Digimon/Cost 14/Lv. 6/White/Mega/Unknown/Unidentified/3000 DP) [Opponent's Turn] [Once Per Turn] When an opponent's Digimon attacks, you may switch the target of the attack to 1 of your Digimon with [Diaboromon] in its name.
Lv.6 Diaboromon BT17-059 R Mega | Unknown | Unidentified [When Digivolving] By placing 1 [Doomsday Clock] from your hand or trash as this Digimon's bottom digivolution card, you may play 2 [Diaboromon] Tokens without paying the cost. (Digimon/Cost 14/Lv. 6/White/Mega/Unknown/Unidentified/3000 DP) [Opponent's Turn] [Once Per Turn] When an opponent's Digimon attacks, you may switch the target of the attack to 1 of your Digimon with [Diaboromon] in its name.
Lv.6 Diaboromon BT17-059 R Mega | Unknown | Unidentified [When Digivolving] By placing 1 [Doomsday Clock] from your hand or trash as this Digimon's bottom digivolution card, you may play 2 [Diaboromon Token]s without paying the cost. [Opponent's Turn] [Once Per Turn] When one of your opponent's Digimon attacks, you may switch the attack target to 1 of your Digimon with [Diaboromon] in its name.
Lv.6 ディアボロモン BT17-059 R 究極体 | 不明 | 種族不明 【進化時】自分の手札/トラッシュから、「終末のトケイ」1枚をこのデジモンの進化元の下に置くことで、「ディアボロモン」(デジモン• 14コスト• Lv.6• 白• 究極体• 不明• 種族不明• DP3000)のトークン2体をコストを支払わずに登場できる。 【相手のターン】[ターンに1回]相手のデジモンがアタックしたとき、アタックの対象を名称に「ディアボロモン」を含む自分のデジモン1体に変更できる。