Dear Dmitri,
From what I can tell, these are the actual differences between the two Church communions on these issues:
1) Divorce. The Orthodox Church will allow it through the Church's bishops on a case by case situation. The Catholic Church is against divorce, but will allow "decrees of nullity" pretending, er, sorry - affirming

that the marriage of several years was never a valid one in the first place. Or so the psychologists tell the bishops . . .
2) Birth control. The Orthodox Church believes as the Catholic Church does that couples should have as many children as they can feed and educate. Artificial means of birth control are allowed, along with natural means, as long as no abortifacients are involved. The Orthodox Church stays out of the bedrooms of its members.
The Catholic Church formally teaches against artificial birth control in all cases. Catholic theologians often disagree. Most Catholics informally practice artificial birth control. But what they do has no bearing on the teaching of the Church since they are invincibly ignorant.
3)Abortion. Both Orthodox and Catholic Churches are against abortion in all cases.
It seems to me the Churches are united on these three points.
Alex