Skill drain kill stardust???NO~!!!!!!!

The effect of "Skill Drain" negates the effects of Effect Monsters that are face-up on the field. Thus, it cannot negate the effect of a monster if the monster is in the Graveyard when the monster's activated effect is resolving. "Exiled Force" and "Rescue Cat" Tributes itself or sends itself to the Graveyard as activation costs for their effects, so the monsters are in the Graveyard when their effects resolve. Thus, "Skill Drain" cannot negate their effects, so you will destroy the monster or Special Summon the Beast-Type monsters from your Deck.

Stardust Dragon: "Skill Drain" has no effect on "Stardust Dragon". For the first effect, Tributing "Stardust Dragon" is a cost, so "Stardust Dragon" is not on the field and is unaffected by "Skill Drain". The second effect activates in the Graveyard, so "Skill Drain" cannot negate it.