1. People with money and social status, and certain sorts of dishonest people. I'd be a mission-oriented killer, going after people who offend me. This is because for me to actively want to hurt someone, I have to have some anger towards them. It can't be about sexual sadism. I'm not horny enough for that.
2. Nothing too specific or creative. There would be torture, of course. My preferred method of torture is to just draw their deaths out. Break bones one by one, cut pieces off of them, shoot them in non-vital areas. And I'd torture their loved ones to death in front of them. I mean, I'd just kill the children, but I'd torture the adults and teenagers above a certain level of maturity. And obviously, I'd sexually assault some of the women.
3. No souvenirs. My victims' deaths would get news coverage, and would be mentioned in wikipedia articles. Some of them may become memes. That's enough for me. I don't need a physical memento.
4. I don't have a name in mind.