I am relatively new to this game and would like to know, if the Starfleet Rewards System is working correclty. I am a Tactical Lieutenant at Level 9 and didn't get the following rewards so far ... at least they don't show up!
Press P to bring up your power list. AP:A will only show up in space, and target optics only on the ground, but you can drag them from there to your bars.
Failing that, make sure you've spent your skill points and not just received them. Leveling used to be tied to points spent, but after that changed it became a bit fuzzy what was based on spent and what was based on gained.