1.) Goto your brige and pickup missions that give great point-rewards.
2.) Always run on elite
3.) In Nebula's only accept space missions as they give the greatest points.
5.) War Zones 3/3 are great
6.) Remember that mission rewards demish over time.
7.) The Romulan Episode is great for fast rewards.
8.) Ask for help from someone higher.
9.) Purchase the XP boost (20 percent increase in the amount of skill points and bridge officer skill points gained during play for a period of eight hours.)
The LT Antoine missions are the fastest route, not fun at all but team up with an LTG. Cold Comfort and Spin the Wheel are the two fastest featured missions. Go to your bridge and grab every replay and then play every mission you can but do NOT turn them in. Get the 1 hour XP boost, activate it, and then cash them in.
I don't even waste my time on good weapons or gear until MG/LTG. You can easily get by with dropped items, mission rewards, or left overs on the exchange. I do recommend hauling in as many data samples as you can.