If you have a close cervix and a doctor opens it during a laparoscopic surgery does that help your chances of getting pregnant ?

No: Laparoscopy is a procedure done through a small abdominal incision. Not the cervix. If you have a scared stenotic cervix and its opened or dilated , this may help in achieving a pregnancy. A scared stenotic cervix may not permit the sperm to enter the uterine cavity.

Probably not: If the cervix was obstructed, your fertility would be improved by removing the obstruction. If that were the case, the obstructed cervix would have prevented you from passing blood with your periods - which would have become a big problem very quickly.