For what it may be worth, I can give you my unqualified thoughts on the first two issues; but can't recommend a resource for the third one.

Historically, it is an unfortunate truth that unwanted pregnancies were thought to be purely the woman's problem unless there was a question of ascendancy to a high position or wealth. It was simply not something the male partner would have wanted to sing about in either case. Because of this I would certainly think the songs would have originated from women and would have been sung by women.