First question: Supposedly, Benedict IX was guilty of homosexuality, holding orgies in the Lateran palace, and of rapes and murders. How trustworthy are the contemporary sources that accuse him of these things? Is it possible that his misdeeds were exagerated for political purposes?
Second question: It seems that Benedict IX used military force on several occasions to retake the papacy after being forced out. Is there record of where he got his troops and how he afforded their maintenance?
To the second question: His family was very well-connected (which is why he got the papacy in the first place) and he had a lot of capital after selling the papal office. He definitely had the money to buy and maintain those troops. He probably didn't have many anyway since he would be driven off every time.