Since this forum is kind of dead let me bore you a little more with my progress.
Now I changed things around. I took the advice and do not have teams anymore.
But now I got Ternie in a Gunslinger (class 4), with two Berserk MK2 and one Berserk MK1. Took criticals perk with her. Also on her ship I put +60% fire rate, +50% turn rate, 40 antimissile and 10hp/s repair systems.
I now got Hero and Greyhair in Puma (I think that is the name of the ship, the one with 3 heavy and 2 systems). Both are Heavy weapon specialists and they got a mix of kinetic cannons and plasma cannons as well as 40 antimissile and +350 shield systems.
My MS is Astarta and I got best Anticapital ship guns (the ones that do 1300 damage), turrets are best laser, best particle and almost best autolaser (also got a best plasma in reserve for when I will meet many antilaser enemies), got +3000 shields (Kali), 400 sensors and 20hp/s repair.
Doing quests for Alex now. Got involved with Triada that got me to almost fight InCo, but managed to survive this by killing a lot of pirates
Funny thing when I tried to go back from Inco system by going through the same wormhole on the other side there was like 20 New Empire ships waiting for me and were hostile and I had no chance to survive that. Then I left through another portal that was supposed to send me to another InCo system but instead it took me to Mulcovny
Oh yea, the InCo guy told me I can use their shop while I was there but it was completely empty (I could only sell stuff)