Other tapped creatures you control have deathtouch.
Other untapped creatures you control have hexproof. , : Untap another target creature or land you control.
Saryth's first ability doesn't care whether Saryth is tapped or untapped. The same is true for the second ability. Both abilities apply as long as Saryth is on the battlefield.
Random a card of Magic: The Gathering (MTG), but you can also roll the D20 dice, random a Planeswalker, have fun with the random rules and more.