Favor points are accrued by getting patients into the ward.
Start by going to the clinic, 'diagnosing' someone, and send them to the ward (third option).
They will then move to the bed in the ward (other side of the Exam machine).
Click them, and you will see you need some supplies (tongue depressors, IV bags, needles, etc).
To get these, you diagnose people in the clinic, give them medicine, and they will give you supplies.
After you have all of the items you need, click on the ward patient, get a referral from a doctor (friend or team-member), and you get a favor point.
Yeah, it's a long process. Best done as much as possible.