If she has had a distemper booster after 1 year of age, I would not be too concerned about getting it boostered right away. Since she has been through so much, I would be careful not to stress out her immune system anymore than necessary.
If she is in need of her Rabies, get that done and make sure you keep the vet record with your name on the Rabies Certificate because that will help you establish ownership if it ever becomes an issue. Also, since she had such a huge infestation of ticks when you brought her home, make sure you talk to your vet about testing for Lyme and Erlichia since both are tick borne and if caught and treated early have much a much better prognosis. Any other vaccinations should not be done for at 3 weeks after the rabies vaccination to avoid stressing her immune system.