Resolve because your W is healing and you build life steal and its needed to have strong heal regen and also Demolisher is one of the most important in Resolve because Aatrox can splitpush very good if something happens and you suck and you are 2/6 or 0/10 you can splitpush because you have attack speed you have W for healing and your R is very strong against towers and has very good countdown you can just clcik R and get full tower in 10-15 seconds or few. your Q helps you to escape if someone comes and get on another lane. Demolisher gives free 200-400 damage on turret.
Sorcery because your R is ap and Gathering increases both your ad and your ap.
aatrox is mostly full health cause W and focus gives you extra damage.

https://www.youtube.com/watch?v=zNC10f_P_RY

E first because it helps you to farm cause its range and damage also it helps to hit enemy champion from range which most top laners cant reach you.
W second of course cause it has Healing and increased damage which can be useful at lvl 2 .
Q thirdone cause it has long countdown and doesnt really need at low level at least you arent against kennen or weak early game champs who can be killed very easly. Q becomes useful 3-7 lvl hit Q throw in the air hit E switch W to damage and kill enemy.

Farm as pig carry as god.