I think you need to add the Else Start Next in each line. For example, piggybacking on the earlier example, if you did...

Award Pairing 122
Award Pairing 124
Award Pairing 129 Else Start Next

Your results might be...

Award Pairing 122
-Honored
Award Pairing 124
-Not honored
Award Pairing 129 Else Start Next
-Honored

But if you add it to all of them, it ensures you either get all of them or it skips to the next bid group.