Thanks Koma, i am trying to learn, thats why i need to upgrade my weapons. Every bit helps eh?
I'm sure you can visit some random stations, preferably in systems that are not visited often and buy a G3 Dominator and some G3 weapons.
But if you stay with the team and you are doing only the Low CZ - you can do it even in G1 equipment
If you really cannot be fused...
Equip a ship with dumbfires, go in a Low CZ, pick a side and kill the enemy reinforcements at drop points.
Wait till the CZ finishes, Supercruise out, then back in and repeat 9 more times.
But the former option is much funnier that the latter and it will help you building some combat skills