Thank you for all replies and suggestions. I was not trolling at all when I said that there is a simple progression path like this : level to 120, do normal 5 mans, heroic 5 mans, LFR tier 1. Then there is a gap to jump to LFR tier 2 (requires 350).
I had done many WQs but best I ever got 340. I have done a few invasions as they popped up and again the best I ever got was 340.
I had not done Warfronts though. I visited Arathi and Darkshore first time today. It appears that each has an Epic boss that rewards 370+ gear to the lucky ones. This is what I did not know at all and thanks for all the pointers.