I think the part where he said he was actually using GH before subbing to Scorpion Queen said it all, but I digress...
First and foremost you don't have a 5 hit because you don't WS in a 5 hit, which is the major reason why WAR's go for a 6 hit in order to up their WSDMG and damage/hit. (This is somewhat of an argument between more than a few people which is irrelevant to what I am saying because this person does not have a 5 hit)
Waist/Neck are debateable inside/outside, since he's talking about inside elemental gorgets/belts increase fTP by 0.1 and gorgets increase accuracy, 2.0fTP mod for STR etcetc.
Blitz ring and Bullwhip belt allow you to TP with 4/5 set like a Zelus would and since you only have a 6hit build this would be the preferred option. You do need to add 1xSTP for your WS build when doing so to maintain your 6hit outside Abyssea or without crap Atma's, but you used GH so meh.
Could be a lot worse but most of what's wrong is easy to obtain/Auction House/sillyness.
Zerk Up/Down set
Zahak's/Byakko's/Thundersoul/Pixie w/everything else posted is +61DEX, which should be in the 140range and capped dDEX for anything outside Abyssea. Some things potentially not, but there are gear swaps I'd make before taking off Zahak's.
Edit: Grim for good measure
5hit+5hit WS Gear+Food + Correct Atma's
WS Dmg: 3236
Set DPS: 612.533
Full DPS: 697.066
6hit
WS Dmg: 4339
Set DPS: 757.226
Full DPS: 793.253