Hello Steven,
You can copy that event (perhaps make a template from it) and it will carry-over your custom reports (not the standard reports).
To copy an event all you need to do is click on the event:
Event Details > Event Status > hover over / click on the Actions button > select Duplicate Event and then run through the Event Creation Wizard.You can name this event whatever you want (e.g. - Template Event).
Now when you need to create an event with all the reports that you had before (minus general reports you saved), they will be in your Template event.
I hope this helps.