Q1: Can the Main effect of this card prevent "Cyber Drummon" from playing after the option card in the Battle Area is trashed?
Yes, it is possible.
Ryo Akiyama BT19-086 R [Start of Your Main Phase] By placing 1 Option card with the [Device] trait from your hand in the battle area, <Draw 1>. [Main] By suspending this Tamer and trashing 4 of your Option cards with the [Device] trait in the battle area, you may play 1 [Cyberdramon] from your hand or trash without paying the cost. --- [Security] Play this card without paying the cost.
Ryo Akiyama BT19-086 R [Start of Your Main Phase] By placing 1 Option card with the [Device] trait trait from your hand in the battle area, <Draw 1>. [Main] By suspending this Tamer and trashing 4 of your Option cards with the [Device] trait trait in the battle area, you may play 1 [Cyberdramon] from your hand or trash without paying the cost. [Security] Play this card without paying the cost. --- [Security] Play this card without paying the cost.
秋山遼 BT19-086 R 【自分のメインフェイズ開始時】自分の手札から、特徴に「デヴァイス」を持つオプションカード1枚をバトルエリアに置くことで、≪1ドロー≫。 【メイン】このテイマーをレストさせ、バトルエリアの特徴に「デヴァイス」を持つ自分のオプションカード4枚を破棄することで、自分の手札/トラッシュから、「サイバードラモン」1枚をコストを支払わずに登場できる。 --- 【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。