I need either to change all of the closed tasks to completed and then figure out a way for the tasks to always default to completed or if I could just figure out a way to create a report that shows all "closed" tasks that would work as well.
2 answers
Status is a funny field. There are multiple picklist options that make a list closed. To see what's closed in your org, go to Setup-->Task fields --> Status. Look at the columns and you'll see a closed column with check boxes. Anything there (i.e. completed, etc) makes a task closed.
If you run an activity report on all completed activities, you should be all set ?