The last mission on both of these new events was rough as hell for me. Enemy special attack (6kish damage) + shield, I attack (70 damage at most with shield up), enemy attack (shield still up), I attack (shield still up), enemy attack (shield down, finally!) I attack (doing decent damage now the shield is down) then wait, enemy special atack + shield up and the cycle starts again.
I did manage to get both of the new suits in the end though.