I'm not sure what you mean by "Lynx Act Three"... do you mean "How do I meet Lyx in Act Three?" If so, you just have to keep playing and conquering locations. If you mean "How do I get to Act Three", just follow your leads (envelope icon in the top-right of the screen).
Also, apartment girls? You mean the House Ladies, or Samantha and Jackie? Or someone else entirely? House Ladies are part of Jessica's storyline, and can then be found in various places in the world. Samantha and Jackie can be found by selecting "Explore" from the Town Map and then paying attention to text hints when you find a "blank" section (ie. an area with no events).