It should come as zero surprise that the same states that have the most limits on abortion also have the lowest rates of sex education, lowest rates of contraceptive use (and availability*) and highest rates of STD's.
Sweden from memory has extremely easy access to abortions (free, loads of places that offer it etc), but very low rates, oddly enough they also have extremely good sex education and easy access to contraceptives.
You're also playing along with the nonsense that contraceptives are always effective, they aren't, the pill won't work if you've on some antibiotics (and you're not necessarily made aware of that unless you read the small print, or the doctor/chemist tells you), condoms can break.
Oddly enough the most effective contraceptive is one that's never suggested by the people telling women not to have an abortion etc, a vasectomy has a very very low life long failure rate

(and can often be reversed)
*few if any free contraceptives, no obligation for health insurance to cover things like the pill etc.