Why doesn't Scrumwise remember which project, tab, sprint, etc. I was looking at last time?

Scrumwise does remember which project etc. you were looking at last time, and will show the same project etc. when you start it next time. If that's not what you're experiencing, you've most likely bookmarked a deep link to a specific location in Scrumwise. So, make sure that your bookmark uses the following link instead of a deep link: https://www.scrumwise.com/scrum/.