Do knee problems run in the family? My mom is having a full knee done. Her brother and sister both have had it done. Is knee problems genitic? Should I worry I will have to have knee surgery in my future?

Yes. Knee problems can be genetic. You should see a sports medicine knee specialist, who will get xrays, and can help determine if your case has a genetic connection.
Knee. Knee problems in a sense can run in the family, based on the "carrying angle" of the knee, or the angle that our leg has when it is straight. Some people have more of an "l" shape to their leg, and that runs in families. More angulation at the knee puts more stress on the joint.