Can different sections of my club have their own set of events/calendar?

You can use event categories to separate events for the different sections of your organisation.  

Each section can link to the relevant event category on WebCollect.  Only events in that category will be displayed on the right hand side.  They can also pick up the iCal feed for their category to display in their calendar.

Home Page with Categories - click to enlarge Event Category - click to enlarge