You’ll need to make sure you have cargo space on your ship, you may find the refinery has taken that away. Put in cargo bays (I think you can carry 6 tonnes from memory. That will then give you cargo missions. Take X to Y and get paid $$.
They don’t pay much at first but as you increase your influence with factions they’ll pay more for your services. However only having a small ship means that a couple of thousand credits is a lot of money for you.
If you are looking to head into combat get yourself an Eagle, then up to Viper and go from there.
If you are looking at trade or other stuff, Sidewinder/Hauler/Cobra will be a good start for you.
Of course if you were on PC/MAC I could come and help you suckle from the breast of the Queen. 🙂