Start simple. Add a column for EventType, it will appear with Group By in the row labeled Total: by default.
Add a second column by typing Counter:1 in the Field line. Change the Total: row to Count
Run the query and you will get a count of events by EventType
Once you get that working add your EventDate as a column and change the Total: row to Where and specify your criteria.
You can define your parameter types by right clicking on the query in design view and selecting Parameters. Defining them this way allows you to set the type so you can use dates.