I FOUND MY PROBLEM
Also I don't think I was very clear in reading my original statement of my problem.
I was using
Calendar+ 2.0 with the home page
here.
Ok, I have several similar appointments starting at 10 pm say on Day 1. They end the next day (Day 2) at 6 am. The point is that they are multiday events.
If you make an singular appointment entry, everything is fine.
Once you place that same appointment as recurring every Tuesday, or 12th or weekends, they now show as dual entities in the Today Screen in the Calendar + section.
I already emailed the author and he was really prompt in his response. Hopefully it can be fixed because I really like the application. :D