My impression (please correct me if I am wrong!) is that you can marry up to three times but the only "big church wedding" would be the first one - sort of a sign that the Church isn't too happy about the whole thing.
I was a big naysayer re: Catholic annulments until I saw a thread posted here earlier this week. It seems that most annulments granted are to Catholics who married a non-Catholic or even to non-Catholics who divorced and then went on to conversion some time later. Not to say that NO Catholics get annulments, they certainly do as I have a few in my own family. I know they aren't all that easy to get - it's quite a long process but there are abuses because I know of them firsthand.
Let's face it, tons of Orthos and Catholics divorce, sadly. The Catholic rate runs about the same as the non-Catholic rate and I bet the Orthos are right there with us. We live in a selfish society and people don't like to go through those tough times that all marriages have at some point or another. Too bad because 1. kids and 2., cuz if you make it through, the marriage is much stronger for the suffering. And last but not least!... you broke a vow that you made before man and God.
I know officially, the Catholic Church does not allow divorce and remarriage (taken together) without an annulment which can be difficult although obviously not impossible. I doubt one could get two annulments though.
Your impressions are pretty correct. If a second marriage occurs in the church, part of the ceremony includes prayers in apology for the first marriage. I've never heard of a third occuring but there is a mention that it could be permitted given the right circumstances.