Q1: If this card's On Play and When Digivolving effects cause a Digimon in the Breeding Area to digivolve, does the Digimon's When Digivolving effect trigger?
No, it does not trigger.
Q2: If the Security effect, the "when security is checked" effect, and the "when security is reduced" effect are triggered simultaneously, in which order do they activate?
Security] effects are activated first. Security] effects, if checked, will be activated immediately without pending activation. Other triggered effects are activated from the turn player's side.
Lv.6 Alphamon BT20-056 R Mega | Vaccine | Holy Warrior/X Antibody/Royal Knight/Chronicle <Barrier> [On Play] [When Digivolving] <Recovery +1(Deck)>. Then, if during an attack, 1 of your Digimon in the breeding area may digivolve into a level 6 or lower [Chronicle] trait Digimon card in the hand or trash without paying the cost. [All Turns] [Once per Turn] When security stacks are removed from, 1 of your opponent's Digimon gets -8000 DP for the turn. --- Inherited: [All Turns] [Once Per Turn] When this Digimon would leave the battle area other than by your effects, if this Digimon is [Alphamon: Ouryuken], by trashing your top security card, it doesn't leave.
Lv.6 Alphamon BT20-056 R Mega | Vaccine | Holy Warrior/X Antibody/Royal Knight <Barrier> [On Play] [When Digivolving] <Recovery +1 (Deck)>. Then, if during an attack, 1 of your Digimon in the breeding area may digivolve into a level 6 or lower [Chronicle] trait Digimon card in the hand or trash without paying the cost. [All Turns] [Once Per Turn] When security stacks are removed from, 1 of your opponent's Digimon gets -8000 DP for the turn. --- Inherited: [All Turns] [Once Per Turn] When this Digimon would leave the battle are other than by your effects, if this Digimon is [Alphamon: Ouryuken], by trashing your top security card, it doesn't leave.
Lv.6 アルファモン BT20-056 R 究極体 | ワクチン種 | 聖騎士型/X抗体/ロイヤルナイツ/クロニクル ≪防壁≫ 【登場時】【進化時】≪リカバリー+1《デッキ》≫。その後、アタック中なら、育成エリアの自分のデジモン1体を手札/トラッシュの特徴に「クロニクル」を持つLv.6以下のデジモンカードにコストを支払わずに進化できる。 【お互いのターン】[ターンに1回]セキュリティが減ったとき、ターン終了まで、相手のデジモン1体をDP-8000。 --- Inherited: 【お互いのターン】[ターンに1回]このデジモンが自分の効果以外でバトルエリアを離れるとき、このデジモンが「アルファモン:王竜剣」なら、自分のセキュリティを上から1枚破棄することで、離れない。