Between Arak and a Hard Place

If you are having trouble doing the "Establishing Axefall" part of this achievement, there is a chance you haven't done the quest Peace Offering. This quest start a short quest chain needed to complete this part of the achievement, and it doesn't show up as a quest in progress on my quest map even when I'm in Spires of Arak, so it's very easy to overlook.

This is my first long post on this site, so bear with me.
For Horde Loremaster:

SHADOWS GATHER
News from Spires of Arak (Didn't do)
Arrakoa Exodus (Didn't do)
The Shadows of Skettis (Starts in the north, marked on map by (!))
Hidden in Plain Sight/Adherents of the Sun God
Orders from on High
The Crone
A Charming Deception/Echo Hunters/All Due Respect/Syth's Secret
A Gathering of Shadows
*SHADOWS GATHER COMPLETES*
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ADMIRAL TAYLOR'S GARRISON
What's Theirs is Ours (From Shadow Hunter Ukambe after you choose)
I see Dead People
A Parting Favor
A Piece of the Puzzle
Second in Command
Punishable by Death/Prime the Cannons
Admiral Taylor
Surviving in a Savage Land
*ADMIRAL TAYLOR'S GARRISON COMPLETES*
For Old Time's Sake(Complete for a follower, Alliance only)
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ESTABLISHING AXEFALL
One of Our Own
Inspecting the Troops
Orders, Commander?
*Choose Trading Post/Inn*
Peace Offering
A Lack of Wasps
Not Here, Not Now
If Inn: (I didn't do these quests but pulled from wowpedia)
Attempted Murder
Assassin's Mark
The Power of Poison/Extrinsic Motivation
Gardul Venomshiv
We Have Him Now
No Time to Waste
If Trading Post: (I did do these quests)
Best Deals Anywhere
Sticky Situation/Safety Measures
Back on Track
All Natural/I see Dead Arakkoa
The Ebon Hunter
*ESTABLISHING AXEFALL COMPLETES*
--------------------------------
SECRETS OF THE TALONPRIESTS
Return to Veil Terrok (From Percy after you choose, unlocks Talon Watch and The Kaliri Whisperer)
Last of the Talonpriests
Ishaal's Orb
Behind the Veil
Blades in the Dark/A Feast of Shadows
Back from Beyond
*SECRETS OF THE TALONPRIESTS COMPLETES*
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LEGACY OF THE APEXIS
Power Unearthed (From Darkscryer Raastok after returning in Back from Beyond)
Hardly Working/Legacy of the Apexis/Sol Sisters
Shot-Caller(from Inactive Apexis Destroyer near one of the sisters)
Hot Seat
Control is King
*LEGACY OF THE APEXIS COMPLETES*
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THE GODS OF ARAK
Talon Watch (From Reshad after turning in Return to Veil Terokk)
Banished From the Sky
Gaze of the Raven God/Sons of Sethe
Servants of a Dead God/Ritual Severance/The False Talon King
Lithic's Gift/Sethe, the Dead God
A Sentimental Relic
*THE GODS OF ARAK COMPLETES*
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WHEN THE RAVEN SWALLOWS THE DAY
Cult of the Ravenspeakers (From Anzu after completing The Gods of Arak chapter)
To the...Rescue?
The High Ravenspeaker
Rendezvous with the Ritualists
The Bloodmane/Words of the Raven Mother
Ralshiara's Demise/Declawing the Bloodmane/The Egg Thieves
The Initiate's Revenge
Call of the Raven Mother
On Ebon Wings
When All is Aligned
*WHEN THE RAVEN SWALLOWS THE DAY COMPLETES*
Talonpriest Ishaal (Complete for a follower)
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TERROK'S LEGEND
The Kaliri Whisperer(From Reshad after turning in Return to Veil Terokk)
Optional side-chain for Arakkoa Outcasts rep and Ikky: Ikky's Egg > Baby Bird
Rites of the Talonpriests
The Talon King
The Missing Piece (Doesn't open up until A Sentimental Relic is turned in for The Gods of Arak)
Terokk's Fall
A Worthy Vessel
The Avatar of Terokk
*TERROK'S LEGEND COMPLETES*
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PINCHWHISTLE GEARWORKS
Pinchwhistle Gearworks (Optional breadcrumb from Garrison)
Defungination/ Spore-Be-Gone/Unwanted Pests
The Mother Lode
Getting the Crew Back Together/Clearing Out Before Cleaning Up
Follow that Hotrod!
The Right Partss for the Job/Skimming Off the Top/Field Trial
Sporicide/Preventing the Worst/Curing With Force
Flame On
*PINCHWHISTLE GEARWORKS COMPLETES*
Kimzee Pinchwhistle (Complete for a follower)

If this guide helped you in any way, please upvote it, if there is any criticism, please leave it in a reply for me to see and I will do my best to update.

I personally did these quests the other day while finishing my Pathfinder and decided to make a guide while I did so, since I don't see one posted on this page. I used the wowpedia Spires of Arak Storyline page for guidance, but I did much clearing up and consolidating of the individual chapters to hopefully make it more linear to help any of you still going for Draenor Pathfinder or perhaps just Arakkoa Outcasts rep or anything else. The zone itself is very interwoven with certain questlines stopping mid-plot until you finish another chapter. When this happens, I've make a point to note it in the guide, so you can expect it and know what's going on.

I missed A Lack of Wasps.
Once I finished that one it sent me to axefall where I started a quest line to Mixxy for :
Best Deals Anywhere
Sticky Situation
All Natural
and finally
The Ebon Hunter.