Could herpes cause other problems?

Yes. Herpes is very complicated. Simply put, there are essentially two types: cold sores (type i) and genital herpes (type ii). In patients with weak immune systems, herpes can cause ulcers in the esophagus, encephalitis (brain inflammation) and neurological disorders to name a few. In relatively healthy adults, an annoying cold sore or painful genital outbreaks can occur occassionally.
No. Herpes may cause pain due to inflammation of the nerves. It does not cause cervical cancer.