Dear M,
you have been on birth control pills which are thought to suppress ovulation. persistent cysts on the ovaries especially in the setting of being on the pill, may represent something other than cysts of ovulation.
At age 29, the possibility of ovarian cancer is low. it can happen but is the least common possibility. the most common reasons for painful ovarian cysts are endometriosis, other benign cysts, or infection in the fallopian tubes (tubo-ovarian abcess0 the latter is associated with fever, elevated white blood cell count , and usually the person is quite sick.
it does make sense to consider a laparoscopy to understand better why you have pain and cysts. that will give you a definite diagnosis.
Sadly there is no such thing as an ovarian cancer screening test at this time. When there is a question about a growth on the ovary, the only way to make a diagnosis is to look surgically
best wishes