Can you share any tips on how to keep an open mind and give a person a fair chance in an arranged marriage?

What are some important conversations to have with my teenage daughter’s boyfriend about his role and responsibilities if they decide to keep the baby?
I’m a woman in a 2-year relationship with another woman. Whenever she drinks, she talks to men and ignores me. When I pull away, she suddenly becomes extra kind and loving, pulling me back in. What should I do?