The mini calendar can be configure to show the previous, current and next month. Additionally you can copy the module and e.g. assign a different category. So you can create as many mini calendars as you want.
How do you only display one month on the mini calendar? Currently on my site, it is displaying two months, the current and the next. When I installed it, it displayed only one, which is what I want. I noticed on the JEvents site that it is also displaying two months. Is it because it is the end of the month and it wants to display the next also?