Pregnancy is a reason for a dispensation? A good number of priests nowadays would not allow marriages to women who are pregnant because pregnancy could be seen as a forced marriage (“shotgun wedding”) and later be grounds for annulment. They must also go through marriage prep, which takes at least 6-9 months (they baby would be born by the time they finished their classes). They want to be sure that people who get married will stay married, lower the divorce/annulment rate, etc. If they want to get married now, they should still want to marry after the baby is born.
I think it depends on the priest. Some are more liberal and care more about numbers than orthodoxy (let people do what they want, don’t preach about the difficult issues) and others are traditional and would rather have a few strong members than a lot of people showing up who don’t really know their faith (although a lot of these parishes are attracting larger numbers because of their orthodoxy). The last 2-3 generations have had poor catechesis: millennials have parents who don’t know their faith, and some of their grandparents don’t know it either. They claim to know it because they were raised in the faith, but when someone asks them basic questions they cannot answer them or don’t know why the Church teaches what she does.
A lot of priests are not seeing couples who are living together who want to get married, either. They must live separately first and if they do get married sometimes they make them have a small ceremony… they are already living as man and wife and already share a home, so the big stuff isn’t needed. Marriage is celebrating the beginning of a new life together (they already live together) and giving them the stuff they need to start their new household (they already have everything because they already have a household… even two adults living separately would want to go to the store to pick out new things together but if they are already together then they don’t really need anything). It’s kind of like a non-Christian couple who convert to the faith and want to have their marriage blessed. Maybe a small celebration afterward but nothing too big.
Marriage to non-Christians are not sacramental but can be allowed with permission. Marriage outside the Church is usually not allowed but permission can be granted.