4 link zombie helm (best gems for max damage) (need help)

Short and sweet - numbered for answer response please.

ignore snap shot and crazy gear combos.

simply put. on a +1 or 2 minion helm -

1.) what four links would maximize zombie damage.
(also i going fire damage stuff - like curses and flame sentinels as my spectre)

summon zombie - multi-strike
what last 2 items would work out.

zombie splash ?
Minion damage ?
Trap with belt ?
Remote Mine ?

2.) (general stuff, not sure about snapshot, but i think it's equipping gear and summoning
now with another set of gear, but leaving Just the summon gem in the same spot on the new gear after going to town)
3.) if that is the case for summon zombie/and i put the gem back in the same spot, do i have to put the matching linked attributes or can i put something else entirely like a buffed out nuke or curse?? )
4.) if it is some buffed out curse or nuke item, whats an example of what some one would do.

5.) what would the best gems be when i snapshot Example being used
-helm bringer of pain
So i attach helm with zombie gem - and multi strike.
the zombies will be getting mad buffs from 18 melee physical and faster attack -
i would assume i'd do added fire damage to complement my skills in this case, and im guessing last would be
trap with belt / or if i don't have belt just remote mine?

6.) do passives that effect trap/remote mine damage in the passive tree effect summons such as spectres and zombies being summoned by them.

7.) i know the above works with trap/mine - not sure on the passives stacking with it - but say i link my spectre with mine/trap - does it actually make my range spectre use trap/mine.

anything else some one would like to add to this, very much appreciated. i just don't want to waste my time leveling gems that i won't need.

Melee physical damage -> 50% multiplier.
Remote mine -> 49% multiplier.
Melee splash -> well, you NEED your zombies to cleave, mandatory gem.


Multistrike is 28% on it's own (closer to 40 if you count in the +50% increased p damage).
Trap is only about 35% multiplier.

I would recommend focusing on physical aspect of your zombies' damage. Don't get me wrong, added fire damage sounds really interesting but once you start mapping and eventually get to high level maps, something like 74+, you'll find out that almost every mob, even thrash ones got tons of resists. Of course you could use ele curses to lower it but remember that any resistant rares and uniques aka map boss or rogue exile will have their resists way overcapped therefore the very least you manage to do cursing them will be lowering resistance to about 75%. Not to mention that effects of curses are halved on bosses. On the other hand highest armor value mobs can have is 920 or 950 iirc and damage of a zombie raised by lvl20 gem without any minion related nodes already exceeds that amount (http://pathofexile.gamepedia.com/Raise_Zombie).

I've been running with Raise Zombie - Melee Splash - Minion Life - Minion Damage setup in a +2 helm nad been doing just fine. After the 1.0.6 patch replaced Melee Splash with lvl2 Empower which bumped zombies' HP by about 1,5k which greatly increased their survability.

For AoE purposes I'm using Evangelists as specters snapshotting them with Raise Spectre - Faster Casting - Increased Duration - Life Leech - Added Fire Damage - Minion Life setup.