I thought I have read everything but I don’t recall reading about reputation and how you earn it. Can someone enlighten me?

You can find information on reputation in this thread

How and who get RP?
** Alliance passive 1RP per day and income salary of 1000 + 1000 credits * RP per day
** Lawless no RP
** Pirate 1RP per day if nothing in PvE
** Trader 1RP per day if warped at least one time within 24hours.
** Hunter 1RP per day if not died within 24 hours and getting then 1000 + 1000 credits * RP per day
** Read it also up in the ingame PDA or on the Story Page7