CCC
I could be reading your example wrongly at this time of day
(my first night so i'm knackered) but if your saying you operated 2 nights followed by 3 earlies with 0500 Local Time reports its not legal within CAP371. You can only op 3 then you need a break to stop the consecutive rule. As you only had 24 hrs its not legal...
Which Airline do you work for if not too personal??