"How can my character get pregnant? After a breeding pill and a bit of pet play with Nova, using preg test shows one black line"
Keep an eye on your menstrual phase. If you're not ovulating and/or in heat, you'll have a hard time getting pregnant. You can also just use a Heat Pill and a Breeding Pill before getting fucked by as many dudes and herms as possible (using a Breeding Pill on your opponent also increases the chances of getting pregnant).
"How do I increase the staff reputation?"
IIRC kicking the guards and medic's asses in fights does the trick. There are specific areas where they spawn a lot