

Q1: I activated this card's On Play When Digivolving effect, and when my opponent's Digimon would leave the battle area for the 1st process, an immediate-type effect such as a "when ... would leave" effect caused this card to be removed from the battle area. Can I then process the part of the effect after "then" in this card's effect?
Yes, you can. If an effect activates, it is to be fully resolved even if the card that activated the effect is removed from that area during the processing.
Lv.4 ExVeemon BT20-011 C Champion | Free | Mythical Dragon [On Play] [When Digivolving] Delete 1 of your opponent's Digimon with 3000 DP or less. Then, if it's your turn, 2 of your Digimon may DNA digivolve into a Digimon card with [Imperialdramon] in its name or the [Free] trait in the hand. --- [Your Turn] This Digimon gets +2000 DP.
Lv.4 ExVeemon BT20-011 C Champion | Free | Mythical Dragon [On Play] [When Digivolving] Delete 1 of your opponent's Digimon with 3000 DP or less. Then, if it's your turn, 2 of your Digimon may DNA digivolve into a Digimon card with [Imperialdramon] in its name or the [Free] trait in the hand. --- [Your Turn] This Digimon gets +2000 DP.
Lv.4 ExVeemon BT20-011 C champion | Free | Mythical Dragon [On Play] [When Digivolving] Delete 1 of your opponent's Digimon with 3000 DP or less. Then, if it's your turn, 2 of your Digimon may DNA digivolve into a Digimon card with [Imperialdramon] in its name or the [Free] trait in the hand. --- [Your Turn] This Digimon gets +2000 DP.
Lv.4 エクスブイモン BT20-011 C 成熟期 | フリー | 幻竜型 【登場時】【進化時】DP3000以下の相手のデジモン1体を消滅させる。その後、自分のターンなら、自分のデジモン2体で手札の名称に「インペリアルドラモン」を含むか特徴に「フリー」を持つデジモンカードにジョグレス進化できる。 --- 【自分のターン】このデジモンをDP+2000。