With Aatrox you have a very very good all in lvl 2 so all in lvl 2 except against olaf, he have a better all in, against champions you can't all in poke them with E and free farm, deny them,
and when they're low Hp dive them.
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THE CONTROL OF THE W IS THE MOST IMPORTANT THING TO ALL IN AND TARDE WITH AATROXX
Think to look at your stacks of W when you want to all in and tarde, keep in mind you can all in with W and Grasp of the undying damages ONLY.

In mid and late you can split push and tp in fights with team then say to your mates where you go and be careful to control your ennemies positions and be aware of the map.
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WHY THE SPLITPUSH IS IMPORTANT AND HOW DO IT :
The aim of the split push is to attract ennemies to you ( 1,2,3 ). Then your tema is in 4v4/3/2
and win the fight. OR you can take tower and get global golds for your team and you.

HOW TO SPLIT PUSH :
when you split tell to your team to go at the opposite of you ( when you're bot they go top ... ) and at siege position it's very usefull, you can also split bot or top to pressure these lanes then your team can do baron or drake when ennemies are chasing you !
GOOD LUCK WITH AATROX