The problem with mouse interaction you're probably encountering is the UI canvas referencing the wrong camera to determine where the mouse is. When zCore initializes, it creates and draws from its own internally managed cameras not present in the scene inspector.
My best advice for that particular issue is to give your canvas a reference to zCore's center camera on start.
canvas.worldCamera = zCore.GetCenterCamera();
UI+Stylus is a different matter. Currently, we're leaving that up to developers to formulate their own solutions. The latest, and best approach I've seen involves extending Unity's "StandardInputModule". I'm looking into the possibility of us sharing one of those potential solutions and will report back here in that event that I get a green light. For now I'd recommend working under the assumption that you'll have to kick up something from scratch.