Items:
3x Plantain Leaf
3x Dragon Slayer
2x Twin Psychoguns
2x Last Survivor

Action:
3x DK Attack
3x Split Boost
2x SW Attack
1x GN Attack
1x Heavy Attack
3x Penetrate Guard
1x Guard
3x Seal
3x Dodge

This deck will help you beat Pollux, without taking almost any damage, then go on to beat Amplum Umbla with ease as well.

1. When fighting Pollux, dump your hand if you don't pull at least one Plantain Leaf. On your first turn, equip nothing, as Pollux will likely destroy it, just take a step or two forward. After that equip at least one Plantain Leaf, then hit her.
   
   Even if she completely blocks the attack, it will lower her AP by 3 for two turns. Your goal after this is to equip a second Plantain Leafs, and a Dragon Slayer or a Twin Psychogun. Attacking with two Plantain Leafs will lower her AP by 6 for two turns, so that REALLY puts a dent in her Ultimate AP Growth. The Dragon Slayer will do 7 damage, or the Twin Psychoguns will do 9 damage since Pollux is a Dark type, and they're both Dark Slayers. The Penetrate Guard's are there just incase the battle lasts a while, they'll be able to completely block her Timed Pierce attacks.
   
   
2. When fighting Amplum Umbla, use the same strategy of Plantain Leaf x2 and Dragon Slayer or Twin Psychoguns... Or if you can't draw those, two Last Survivors. The Plantain Leaf's will lower Amplum Umbla's normal 4 damage rampage attack to 0.

With a Last Survivor out, it'll be hard to destroy because of it's Full Heal (you only have to place one Guard or Seal defense card to keep it alive, and they only cost 1 point to play) This way you can keep Amplum at 0 or 1 AP when it attacks normally, and it's Meteor attack won't do any damage to your items (Plantain Leaf has 1HP, and Last Survivor has Full Heal,

So even if he uses Meteor to lower all Items to 1HP, they both survive with the same amount of HP as before the attack) At this point, just keep hacking away at him, you'll win in no time.