Q1: Does this card's inherited effect activate when an attack is performed using a "Start of Your Main Phase Attack with this Digimon" effect?
No, it doesn't activate. "Attack with this Digimon" effects aren't suspending by an effect, they're suspending by an attack. Therefore, they aren't considered to be a "When an effect suspends" effect.
Lv.2 Kokomon EX4-002 U In-Training | Lesser - --- Inherited: [Your Turn] [Once Per Turn] When an effect suspends one of your Digimon, <Draw 1>. (Draw 1 card from your deck.)
Lv.2 Kokomon EX4-002 U In-Training | Lesser - --- Inherited: [Your Turn] [Once Per Turn] When an effect suspends one of your Digimon, <Draw 1>. (Draw 1 card from your deck.)
Lv.2 Kokomon EX4-002 U In-Training | Lesser --- Inherited: [Your Turn] [Once Per Turn] When an effect suspends one of your Digimon, <Draw 1>.
Lv.2 チョコモン EX4-002 U 幼年期 | レッサー型 --- Inherited: 【自分のターン】[ターンに1回]自分のデジモンが効果でレストしたとき、≪1ドロー≫(自分のデッキからカードを1枚引く)。