I guess you were "Nooby Genwunner" then? Those are called Pokemon that came after Gen 1. As for why your Psychic didn't hit Drapion: Dark is a Type introduced in Gen 2, along with Steel. Dark Types are immune to Psychic attacks, and Drapion is part Dark.
As for why he went first after Agility: Priority is a mechanic introduced even in Gen 1. You might remember Quick Attack. It has Priority +1. Most moves have Priority 0, but moves with a higher Priority go before moves with a lower Priority, regardless of Speed. Speed only matters when both moves are on the same Priority