Swedish and Danish are very close. Though the Danes pronounce words a bit different. A Dane and Swede will be able to converse easily if they're used to it. If a Swede is not used to Danish he won't understand everything. It's a lot easier to understand written Danish than spoken, because of the pronunciation.

No, Swedish and Danish are much closer than Italian and Spanish.

She was definitely speaking Danish.

He was speaking Swedish, she was speaking Danish. FYI.

Men are funnier than women though. The question is why that is. To just state that "men and women are equally funny" because they "have to be" is just dishonest.