From what I had to do and a few of my friends most of the part 1 job quests involve talking to someone in the town, I don't know if this applies to all classes but I hope this helps. The NPC you have to talk to doesn't have the ! or anything above his head, you just click them once and then they go oh hey i can complete that quest for you. Goodluck buddy and if you complete it all the way tell us how you did it
Also Fael I think when it says sky castle armon I think it might mean just beat a sky castle stage in that time or maybe that boss, the little kid who sits on a rock and floats around. I dunno I'm just guessing but hopefully it helps.