I just completed this quest (Explore the Hiromi Sector) last night but was not rewarded the Badges of Exploration, Order 2 as I was supposed to. Is there any way to see what Badges you have on your character because they don't show up in the Inventory. Also I though this was going to be a repeatable quest but it doesn't not appear anywhere in the "Hail Starfleet" category.
This is the second quest I've completed that I did not receive the selected reward for.
i know the mission we were on when the servers crashed last night were warped back before we ended them and we lost loot.
I think you can just go back into the area and it will give you the quest again.
It is repeatable within a certain level range AFAIK. Repeatable quests in this game have a cooldown, which is nice, especially with the exploration missions. Go do a mission or two, and see if it's there again.