Undtil you hit lvl 6 i recommet to farm so much as you can, you can use your Q to last hit and your E to deal damage to the minions. but ofc if you see an opportunity to get a kill you sould go for it...

The reason to i take attack damege runes is, that if you start with amplifying tome you can use both passives, and get spell wanp and deal extra magic damage in basic attack's

Hexteck gunblade: i mean it's one of the most inportant iteams to Akali, it gives her everything what she needs.

Trinity Force: It gives Her a little bit Abillity power, health and attack damage. Another thing there is good, is the Sheen's passive, it also some damage to the enemies.

Rylai's crystal scepter: when you have this item it's impossible to escape from you and the healt and ap is just a bonus

Youmuu's ghostblade: A little bit Armor pen, but the must inportent thing is the coldown reduction, when you have that all your abbillity's will have a nice coldown.

Void staff: it's only for the magic pen. atually you can take what you want as your last thing, it doesn't count so much

In team fighs you need to jump, into the figth deal a tons of damage and then fast out again, and then go in again and pick up the kills.
If you thing why? If you stay to much in the team fight you will be taked of pretty fast cuz of you don't have so much Armor and Magic resist

Akali is amazing to escape. use your W and ghost on the same time to cheat the enemys, if you do that it will be easy to escape. ofc you also have flash, but i use it more offen to come out of the team figth, and then go into it again