EpisparhAnd for the last combat rank you need to kill a lot... I think it is 1700 points. Elite ships kills gives 1.25, deadly 1, dangerous 0.75.
Just keep going to Haz RES, high CZ and perhaps Thargoid interceptors - you will get there eventually.
I guess that will be my main activity in the next few weeks. Well, except hunting Thargoids. As far as I know the mechanics there require a different build. Besides, I don't want to upset the Far God.