Well, you were misinformed in both cases. It's completely acceptable for a US citizen with no status in Canada to own or rent property. In fact, you will need a lease in both your names in order to apply for a PR.
Do you have a Michigan driver's license ? If so, you need only go to a driver test center and trade it in. It might take a few hours of sitting and waiting, but they know what to do. My partner got an Ontario license his first day in Ontario.