As Para Handy stated, you can do the missions at other stations even if they are above your pay grade so to speak. Look through the mission listings while keeping in mind the following;
1) What is the mission asking me to do? Is it saying haul 80 Widgets to a station that is 15 LY away?
- If so, how much cargo space do you have? If you don't have 80 units of space, you will have to make multiple trips. With this, they might tell you a bad guy may come after you to try and interdict you and take your cargo. Say you have to make 10 round-trips (that would be 20 total, One there, One back). That means that the bad guy will have approximately 20 chances to try and interdict you. I know this because I decided one time to haul over 2000 units from one station to another in the same system. After the third trip, I started getting interdiction attempts by some bad guy (call him Snydely Whiplash). Every time I left the station, ol' Snydely was there when I entered Supercruise, and Every time, he tried to interdict me. I put up with it for approx 24 round trips (or 48 trips total). I couldn't wait to finish that mission. It had an 11 Million credit pay out! But had I failed, it had a 52 Million credit Fine. At the time I had 53 million in the bank. Always read what the mission is asking you to do before you take it.
2) Where is the mission sending me? How far do I have to go to get to the end stop?
- When I was first starting out, I had a mission to take some widgets from one system to another. No Problem! So I picked up the cargo, headed off into Hyperspace, got to the system, and realized that I had to travel over 300,000 ls to get to the base. 300K Light Seconds, while not the farthest by any means (Hutton Orbital is 6 Million+) is still a fair bit of time traveling....While the payout was like 1 million credits (which when you are starting out seems like a HUGE payout) the time involved doing the mission doesn't really make the payout seem worth it.
- Another one, I had to take some widgets from one system to another. I get there, drop off the widgets and look for another mission. I find one that is going back to the original system! Nice! I pick it up and launch. Lock onto the system, fire up the FSD, and it tells me basically..."You Can't Get There From Here". Huh?? What do you mean, I just came from there...What happened was I had picked up just enough cargo that it cut my max jump range to below the distance to the star system. I was short by 0.2 LYs. I had to go back, land, drop off a module to lose Mass, and then I was able to complete the mission. But otherwise, I was Stranded because my Jump Legs were just a bit too short. As you get bigger and more capable ships you might not have to worry about this, but it is something to keep in the back of your mind if you decide to go out exploring...You can jump yourself into a Roach Motel...You can Jump In, but can't Jump Out.
3) What is the level of the mission? Is there anything that may affect me if I don't make it?
- All mission have various levels of toughness so to speak. The higher the level, the harder the mission may be. You might come up against a VERY tough pirate in an Assassination mission, or have a high level pirate try to interdict you during a hauling mission. Look at the levels of difficulty, but don't let them scare you off. You can do Elite recommended mission, just know that you may face someone who isn't a push over if it comes to it. Also, as I mentioned, Check the Fines/Penalties that can occur should you not finish the mission. As I experienced, I had the big haul mission (these are generally Wing Missions, meaning you get together with others to complete them) that had a payout of 11 million, but a penalty of 52 million should I not complete it. Weigh your choices against what you are willing to gamble.
4) GO HAVE FUN!!! This game can (and does) have a steep learning curve. They don't give you much in the way of a manual that you can hold while you are trying to figure out what is what. I printed out various pages showing the button commands and when I got the HOTAS (Hands On Throttle And Stick) I made my own sheet of what did what and taped it to my computer stand. There are lots of informative videos on YouTube about the game, and many Commanders have put a lot of time and effort into them to make it easier for those who follow in their footsteps.
Hope this helps, or at least didn't put you to sleep.
Take Care and Check Six Commanders! o7