Q1: Can I ignore the color requirements when I use this card's When Digivolving effect in order to use an Option card with {{EffectLinkArchetype|Plug-In}} or a yellow Option card?
No, this card's When Digivolving effect doesn't allow ignoring color requirements, so you can only use cards that meet the color requirements.
Q2: If I activate an effect that reduces the cost of an Option card with a cost of 2 or more and I only pay a cost of 1, or if I do not pay the cost at all by activating an effect that allows me to use an Option card without paying the cost, does this card's Your Turn effect activate?
Yes, as long as the Option card you use has a cost of 2 or more, this card's Your Turn effect activates regardless of the actual cost paid.
Q3: Does this card's Your Turn effect activate if I use an Option card when it has a cost of 1 or less due to a "reduce the cost of this card in the hand by 1" effect on a card such as such as BT2-099 Glorious Burst or BT8-097 Crimson Blaze?
No, it doesn’t activate. It doesn't activate if the cost of an Option card consistently changes when it's in the hand and becomes 1 or less due to that card's effect.
Lv.6 Sakuyamon BT17-038 R Mega | Data | Shaman [Digivolve] [Sakuyamon: Maid Mode]: Cost 1 <Barrier> [When Digivolving] 1 of your opponent's Digimon gets -6000 DP for the turn. Then, from your hand and without paying the cost, you may use 1 5 cost or lower Option card that has [Plug-In] in its name or is yellow. [Your Turn] [Once Per Turn] When you use an Option card with a cost of 2 or more, until the end of your opponent's turn, their effects can't return this Digimon to the hand or deck.
Lv.6 Sakuyamon BT17-038 R Mega | Data | Shaman [Digivolve] [Sakuyamon: Maid Mode]: Cost 1 <Barrier> [When Digivolving] 1 of your opponent's Digimon gets -6000 DP for the turn. Then, from your hand and without paying the cost, you may use 1 5 cost or lower Option card that has [Plug-In] in its name or is yellow. [Your Turn] [Once Per Turn] When you use an Option card with a cost of 2 or more, until the end of your opponent's turn, their effects can't return this Digimon to the hand or deck.
Lv.6 Sakuyamon BT17-038 R Mega | Data | Shaman [Digivolve] [Sakuyamon: Maid Mode]: Cost 1 <Barrier> [When Digivolving] 1 of your opponent's Digimon gets -6000 DP for the turn. Then, you may use 1 Option card with [Plug-In] in its name in its name or 1 yellow Option card with a cost of 5 or less from your hand without paying the cost. [Your Turn] [Once Per Turn] When you use an Option card with a cost of 2 or more, this Digimon can't be returned to hand or deck by your opponent's effects until the end of their turn.
Lv.6 サクヤモン BT17-038 R 究極体 | データ種 | 神人型 「サクヤモン:巫女モード」:コスト1 ≪防壁≫ 【進化時】ターン終了まで、相手のデジモン1体をDP-6000。その後、自分の手札から、名称に「プラグイン」を含むか黄の使用コスト5以下のオプションカード1枚をコストを支払わずに使用できる。 【自分のターン】[ターンに1回]自分が使用コスト2以上のオプションカードを使用したとき、相手のターン終了まで、このデジモンは相手の効果で手札、デッキに戻らない。