Q1: Can I use the End of All Turns effect in this card's inherited effect to play this card itself when this card is in a Digimon's digivolution cards?
Yes, you can.
Leon Alexander BT17-086 R Abadin Electronics [Security] Play this card without paying the cost. [Start of Your Main Phase] If you have a Digimon with [Pulsemon] in its text, gain 1 memory. [Main] <Mind Link> with 1 of your Digimon with [Pulsemon] in its text. (Place this Tamer as that Digimon's bottom digivolution card if there are no Tamer cards in its digivolution cards.)
Leon Alexander BT17-086 R Abadin Electronics [Security] Play this card without paying the cost. [Start of Your Main Phase] If you have a Digimon with [Pulsemon] in its text, gain 1 memory. [Main] <Mind Link> with 1 of your Digimon with [Pulsemon] in its text. (Place this Tamer as that Digimon's bottom digivolution card if there are no Tamer cards in its digivolution cards.) --- [All Turns] While this Digimon has [Pulsemon] in its text, it gains <Blocker> and <Barrier>. [End of All Turns] You may play 1 [Leon Alexander] from this Digimon's digivolution cards without paying the cost.
Leon Alexander BT17-086 R Abadin Electronics [Security] Play this card without paying the cost. [Start of Your Main Phase] If you have a Digimon with [Pulsemon] in its text, gain 1 memory. [Main] <Mind Link> 1 of your Digimon with [Pulsemon] in its text. --- [All Turns] While this Digimon has [Pulsemon] in its text, it gains <Blocker> and <Barrier>. [End of All Turns] You may play 1 [Leon Alexander] from this Digimon's digivolution cards without paying the cost.
レオン アレクサンダー BT17-086 R AE社 【セキュリティ】このカードをコストを支払わずに登場させる。 【自分のメインフェイズ開始時】「パルスモン」の記述がある自分のデジモンがいるなら、メモリー+1。 【メイン】「パルスモン」の記述がある自分のデジモン1体に≪マインドリンク≫(このテイマーを、進化元にテイマーカードが無いそのデジモンの進化元の下に置く)。 --- 【お互いのターン】このデジモンに「パルスモン」の記述がある間、このデジモンは≪ブロッカー≫と≪防壁≫を得る。 【お互いのターン終了時】このデジモンの進化元から、「レオン アレクサンダー」1枚をコストを支払わずに登場できる。