Q1: Can this card's On Play and When Digivolving effects select other Digimon of either myself or my opponent?
Yes, you can choose either your or your opponent's Digimon.
Lv.5 Luminamon (Nene Version) BT19-102 SEC Ultimate | Vaccine | Composite/Xros Heart [Digivolve] [Luminamon]: Cost 2/[Nene Amano] with [Shademon] under: Cost 3 [On Play] [When Digivolving] Choose 1 other Digimon. By playing 1 level 4 or lower Digimon card from the chosen Digimon's digivolution cards without paying the cost, delete the chosen Digimon. [On Deletion] You may play 1 card with a play cost of 5 or less from under your Tamers without paying the cost. DigiXros -1: [Nene Amano]×[Shademon]/[Luminamon]
Lv.5 Luminamon (Nene Version) BT19-102 SEC Ultimate | Vaccine | Composite/Xros Heart [Digivolve] [Luminamon]: Cost 2/[Nene Amano] w/ [Shademon] under it: Cost 3 [On Play] [When Digivolving] Choose 1 other Digimon. By playing level 4 or lower Digimon card from it's digivolution cards, delete the chosen Digimon. [On Deletion] You may play 1 card with a play cost of 5 or less from under any of your Tamers without paying the cost. DigiXros -1: [Nene Amano] x [Luminamon] or [Shademon]
Lv.5 ルミナモン ネネVer. BT19-102 SEC 完全体 | ワクチン種 | 合成型/クロスハート 「ルミナモン」:コスト2/「シェイドモン」が下にある「天野ネネ」:コスト3 【登場時】【進化時】他のデジモン1体を選ぶ。選んだデジモンの進化元から、Lv.4以下のデジモンカード1枚をコストを支払わずに登場させることで、選んだデジモンを消滅させる。 【消滅時】自分のテイマーの下から、登場コスト5以下のカード1枚をコストを支払わずに登場できる。 「天野ネネ」×「シェイドモン」/「ルミナモン」