Using Char as the determining factor of the success of a proposal was just off the top of my head. Right now it seems way too easy to get married. Perhaps adding in a dowry would make it more of a challenge. That way you could collect money when marrying off a daughter.
I think they accept mainly for the fame, wealth, power and status rather than looks and charm, assuming that stuff matters, since back in the actually medieval times, those things meant more to people than their own happiness (at least most people).
I haven't seen any random events yet, but I would like to see spouses get killed off. Perhaps wives dying in childbirth.
Since currently you cannot remarry, this would have to a latter on thing, and maybe you can be given the choice to save her at the cost of essence (like that wolf quest to get the pet wolves). Also that would be a kind of weird way to lose, if you sovereign is a female, and she dies in child birth with her first child.