I want to see the study about abortions and Birth control pills increasing breast cancer cases.
NY State's Department of Health strongly implies about the former here:
CORAM, MT. SINAI, PORT JEFFERSON STATION (CMP) FOLLOW-UP INVESTIGATION(PDF)
BREAST CANCER RISK FACTORS with references starts on page 25.
“The importance of reproductive factors in affecting breast cancer risk has been known for a long time. Women who have never given birth (or had a full-term pregnancy) are at a higher risk for breast cancer compared to women who have carried a pregnancy to term.”(Page 26)As for the latter:
Oral Contraceptives and Cancer Risk
A number of studies suggest that current use of oral contraceptives (birth control pills) appears to slightly increase the risk of breast cancer, especially among younger women. However, the risk level goes back to normal 10 years or more after discontinuing oral contraceptive use.