Yes sometimes it can if the cysts are particularly large i have found that intercourse can actually cause the cyst to burst due to the pressure created on the vaginal wall
No they are different ovarian cysts ONLY occur on the ovaries, and only in women. (i would know i have 4)Pelvic cysts can occur in men and women, and are present in the pelvic cavity.
It can prevent pregnancy in severe cases, but there is an operation to have them removed if they are that serious.Otherwise, it can just take a little longer than it normally would to become pregnant.
Go see a doctor immediately. You could have something called Polycystic Ovarian Syndrome which can be mild, moderate, or severe. Either way, it can affect your chances of being able to get pregnant...