For the record I FINALY got the 7/7. and like I said before I still think it should be a VERY high priority mission when its Available, so that you get it done and move on. having to wait for days and weeks for it, actually made my game play less enjoyable and drove me out of the game. I got so frustrated with it I stopped hunting and started doing other games.
I agree with this. I finished all my colonial chain missions but some of the final 7/7 ones took a long time to come up form me. At one point I had 5 chains waiting for the 15 minute 7/7 mission to appear. My last one took a couple weeks to come up within my play time, and this is checking daily.
So far I haven't had a problem with the final Renown mission showing up. My problem is getting Blue instead of Purple the first time around. I'm 0 for 3. Which means I get the Blue DOff, which is all well and good, but then have to hunt for the repeat 'Support Colonization Efforts' to get the Purple. :/
The rewards for completing the Renown assignments are a blue duty officer unique to each sector.
After completing the Renown assignment, you can run the Support missions to try for the unique purple duty officers.