Does armor wars work with Arachnos team ability? SO if I am attacked and the attacker has to take 1 damage from Arachnos TA, do they take another from Armor wars if they have a damage reducer? And with damage shield does work against damage reducers?

Armor Wars says whenever damage dealt is reduced, add 1 more damage after damage reducers have been applied.
The Arachnos TA is damage taken, not dealt. Plus it cannot be reduced so AW would never be activated.
Damage Shield DEALS 1 damage and unless you also have Armor Peircing on the fig with the Damage Shield, the damage can be reduced. If it was then AW would kick in and 1 more damage would be added.

ok, So if say my Ghost widow who has Armor piercing and Damage shield gets hit, The person who hit me would take 1 for AP, and 1 for Damage shield? and if they take one from damage shield then could 1 more be applied for armor wars? Or since its only 1 damage that cant be reduces because of AP then the Armor wars can never be activated? thanks in advance.

First off, all by itself Armor Piercing does not deal any damage at all. I think you meant to say, "1 damage from Arachnos TA and 1 damage from Damage Sheild."

With Armor Piercing in play, if Damage Shield is activated, the character will end up taking that 1 click of damage. AP prevents the damage dealt by Damage Shield from being reduced. And Arachnos damage can never be reduced at all (since it is damage taken, not damage dealt), so AP doesn't enter into that equation.

The way the RA has ruled the Armor Wars/Armor Piercing combo, yes, an extra click of damage would be dealt.

Essentially, if Armor Wars was the Battle Field Condition, your Ghost Widow would end up delivering 3 total clicks of damage to a character with damage reducers that hit her with a succesful close combat attack that dealt damage. 1 click taken from Arachnos TA, 1 click dealt by Damage Shield, and 1 more click dealt by the Armor Wars BFC.

If the character did not have any damage reducers, only 2 damage would be clicked (without damage reducers to try and reduce the Damage Shield click, Armor Wars won't activate). And if it a ranged attack, Damage Shield wont' activate at all (since it only works on close combat), and the attacking character would only take the 1 Arachnos click.

Thank you very much, that helps me out a lot. I needed the clarifaction to know if I wanted to try this strategy. Thanks man.

Another question, when using poison and AP and if the other person had a fig with Defense reducing powers, would they take another clix of damage for Armor wars?

Yes because the poison happens. But toughness or any other damage reducer would "normally" nullify the damage. Therefor it is "reduced"
In the poison Armor peircing case (Poison happens, is reduced by toughness/any Damage reducer, Armor peircing kicks in so character takes damage anyway, the Armor wars adds a click of damage)