Women applying for divorce

Q: A woman whose husband leaves her for 1 year 8 months with no contact and applies for a legal divorce and signs documents for separation and the magistrate dissolves their marriage in the family court. Now its 4 months from the divorce date. Can the woman make nikah again?

Marrying a girl who was engaged to one's cousin

Q: There is a girl whom my cousin was previously in love with. The whole family knew and since he was still studying, the family wanted to marry them once my cousin's studies were over. After a year, for some family reasons, my cousin left the girl. I know that girl and I want to  marry her and she too wants the same. When my parents and the girl's parent came to know about this, they are telling us that this is not possible, my cousin won't like it, what other people will say, what elders will say etc. In my point of view, its more society and culture thinking. I wanted to know what Islam says about this? What is the view?