May have figured out a solution to my own problem on my iPhone:
1. Create a new calendar (I called mine "stuff to delete")
2. Open each event you want to delete. Go to "edit" and switch it to the new calendar you just created.
3. When you're done moving all of your unwanted events, simply delete this calendar. If this makes you skittish, simply turn the viewing off for this calendar.
Hope this helps!