Is this true about birth control?

Yes, you should consider taking it, or some form of contraception. It is a minimally increased risk of breast cancer, for the ten years following you stopping birth control. It's no riskier than walking outside and exposing yourself to secondhand smoke, or flying in a plane and exposing yourself to increased radiation, or something like that. You can go to cancer.gov, ACOG or CDC.gov and look up more information for comfort. 

I've never heard of this, however if you have varicose veins you can have the risk of a blood clot, that's why I don't take the pill, there are other side effects to certain bc because they are hormonal control so they mess with your body's chemistryHere is a post from cancer.govOral contraceptive use has consistently been found to be associated with a reduced risk of ovarian cancer. In a 1992 analysis of 20 studies, researchers found that the longer a woman used oral contraceptives the more her risk of ovarian cancer decreased. The risk decreased by 10 to 12 percent after 1 year of use and by approximately 50 percent after 5 years of use (4).Researchers have studied how the amount or type of hormones in oral contraceptives affects ovarian cancer risk. One study, the Cancer and Steroid Hormone (CASH) study, found that the reduction in ovarian cancer risk was the same regardless of the type or amount of estrogen or progestin in the pill (5). A more recent analysis of data from the CASH study, however, indicated that oral contraceptive formulations with high levels of progestin were associated with a lower risk of ovarian cancer than formulations with low progestin levels (6). In another study, the Steroid Hormones and Reproductions (SHARE) Study, researchers investigated new, lower-dose progestins that have varying androgenic (testosterone-like) effects. They found no difference in ovarian cancer risk between androgenic and nonandrogenic pills (7).Oral contraceptive use by women at increased risk of ovarian cancer due to a genetic mutation in the BRCA1 or BRCA2 gene has been studied. One study showed a reduction in risk among BRCA1- or BRCA2-mutation carriers who took oral contraceptives, whereas another study showed no effect (8, 9). A third study, published in 2009, found that women with BRCA1 mutations who took oral contraceptives had about half the risk of ovarian cancer as those who did not (10).