I need help with a quest.. Plus many questions

[Danbo05]

Talking to one of the NPC's should get you to where you need to go if you wanna get on the air ship and off. Its usually the NPC behind the desk that leads to the air ship.

You can only start converting gear after getting one of your crafting classes to a certain level. Same applies for melding. To be able to dye gear, you need to talk to a lady in Western Thanalan, by around the Vesper Bay area, and complete the quest she gives you.

There is really no level requirement for Lavender beds. The quest is simply just for showing off the Lavender beds housing area.

Field gear is for your gathering classes. Battle gear is for combat classes.

As of right now each class has 1 job that they upgrade to when you've reached the requirements, Arcanist being the exception. Lancer => Dragoon ; Gladiator => Paladin ; Pugilist => Monk ; Archer => Bard ; Thaumaturge => Black Mage ; Conjurer => White Mage ; Arcanist => Summoner/Scholar

Your reputation goes up via receiving commendations from the dungeons, not from quests. Once you're around lv43+, your reputation will start to include beast tribe quests, which are dailies you can do.