Head to the Cavalier's Club, it will be a C on the spinner map, and do the mission from your friend/leader guy. You can use m to bring up your phone menu, which provides email, memo, and rumor functions. Memo is your current missions while rumors are leads you've gotten from people with ask about rumors. Email lets some people send you missions. Shift + T lets you call anyone, and you can call people from any of the phone menus as well.
Once you've finished, or during it, there should be a mission from someone else in the club to recover an item he lost from a thief. If you have decent charm and conversation, you can bluff em, otherwise wait to do it since he's a VERY tough fight. There may be other options for it, but I'm not sure what they require.
Finally, there will be a derelict spacecraft or abandoned mine nearby in the exterior map. You'll need a spacesuit of some sort and a weapon, but you can get a nice mecha out of it. Or a crappy one, but it will ALWAYS be a custom variant.
After those doing all that, you can wander your current spinner, asking for rumors and doing missions, or head to another spinner. If you wish to advance the plot, you got to the one recommended by your first contact, otherwise check the news, either with a better phone or at a video terminal. Fungal infections = personal scale missions, while most other things are mecha combat. There are a few unique things among the spinners, Theles has some fun personal scale activities while a few other spinners have some mecha arenas.
For creation, put a few points into charm. Even 2-3 points will make a significant difference in the amount of rumors and missions you get.