You will need to either create multiple reports and have a series of if tickbox1 and tickbox2 = true then open report x etc. (Hard way and will get messy if you need to change the report)
Else reference your query criteria to the form. ie in the query criteria put.
iif ([forms]![yourform]![yourtickbox] = true,"Find this if Ticked","Find that if not Ticked").
You can even reference controls on your report to match those on your form. Just set the control source to =[forms]![YourForm]![Yourfield]
Hope that helps.