Shadows Chill states that one point of sneak attack damage per die is cold damage does that mean it is no longer precision damage? If so is it multiplied on a critical hit?
It is still precision damage, but it is precision cold damage instead of precision slashing/piercing/blunt damage. So while it is still not multiplied on a crit, it will go right past DR (like any other energy damage).
Elemental strike says as a swift action for one round your weapons deal 1 additional point of energy damage depending on type, does this activate fire forged steel. If not would the ifrit brazen arms ability activate fire forged steel?
Good question. My own read of fire-forged steel is that your weapon has to be in a position to be damaged by the fire, so neither elemental strike nor brazen arms will activate it (because neither harms your own stuff). However, I could see a GM ruling otherwise over the "infuse your weapons with energy" fluff.