Q1: Does "when an effect suspends" in this card's Your Turn effect trigger when an attack declaration is made for a Digimon and it's suspended using an effect such as Blitz or an "attack using X" effect?
No, it doesn't. Suspending from an attack declaration is due to the rules, therefore it doesn't trigger "when an effect suspends X" effects.
Rhythm BT17-089 U [Your Turn] When an effect suspends one of your Digimon, you may suspend this Tamer. [Your Turn] When this Tamer becomes suspended, gain 1 memory. Then, if you have [Argomon] or a yellow Digimon with [Agumon] or [Greymon] in its name, <Draw 1>. --- [Security] Play this card without paying the cost.
Rhythm BT17-089 U [Your Turn] When an effect suspends one of your Digimon, you may suspend this Tamer. [Your Turn] When this Tamer becomes suspended, gain 1 memory. Then, if you have [Argomon] or a yellow Digimon with [Agumon] or [Greymon] in its name, <Draw 1>. --- [Security] Play this card without paying the cost.
Rhythm BT17-089 U [Your Turn] When an effect suspends one of your Digimon, you may suspend this Tamer. [Your Turn] When this Tamer becomes suspended, gain 1 memory. Then, if you have [Argomon] or a yellow Digimon with [Agumon] or [Greymon], <Draw 1>. --- [Security] Play this card without paying the cost.
リズム BT17-089 U 【自分のターン】効果で自分のデジモンがレストしたとき、このテイマーをレストできる。 【自分のターン】このテイマーがレストしたとき、メモリー+1。その後、自分の「アルゴモン」か名称に「アグモン」/「グレイモン」を含む黄の自分のデジモンがいるなら、≪1ドロー≫。 --- 【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。