Ethernet pet qıestion

Hi everyone this is My first ethernal pet i ve 2question.

  1. How is fauns gift work? Is it give me %50 hp
    2.i build A twister mage(poison).So this pet makes me tankier is it useful for A dps mage in solo

If you have luck on gear it will be a great help

So if i have %100 Luck on My gear it Will give me %50 hp and resist?