Here is a small Draenei Leveling Guide. It contains information on the first few Draenei quests as well as the order in which to perform the quests. I used the Shaman class for this guide.
Start with the "You Survived quest". Go to the crash and turn it in. You'll get "Replenishing the Healing Crystals". Pick up "Volatile Mutations" near the tent. Go North and kill Vale Moths. You should be able to complete your quests and reach level 2.
Go South to turn in "Volatile Mutations" and get "What Must be Done". Pickup "Botanical Legwork" nearby. Head to the ship and turn in "Replenishing the Healing Crystals". You'll get "Urgent Delivery" next. Further in, you can turn in "Urgent Delivery" and get "Rescue the Survivors". While you are here, go to the trainer, in this case Shaman, and complete a small quest to get some experience.
Leave via the south exit so you can pick up "Spare Parts" and "Incoulation". Heat east. Be on the lookout for a Draenei lying on the ground. You can use your Racial ability to heal them. Go south to Ammen Fields and kill the mutated root lashers that are hanging around. Also be looking out for corrupted flowers around here so you can take care of "Botanical Legwork". Go turn in "Botanical Legwork" and "What Must be Done". Get "Healing the Lake" next. Go inside and turn in "Rescue the Survivors" Head towards Silverline Lake and find the big crystal. Touch the crystal to get "Disperse the Neutralizing Agent". Go east and hot key the Inoculating Crystal. Use the crystal on the yellow named mookin to finish "Inoculation". You can probably find enough spare parts to complete the "Spare Parts" quest. Grind a few mobs until you reach 4. Hearth back to the crash site.
That concludes this portion of the Draenei Leveling Guide. I hope you've found it helpful and your Draenei gets off to a quick start.
Still can't get your Draenei out of Azure Watch? Then Check out the Draenei Leveling Guide for step-by-step instructions on how to quickly level a Draenei in World of Warcraft.
