Due to reasonable ones, there's no conviction (6)
I believe the answer is:
doubts
If this is the answer I cannot explain how the clue works.
Can you help me to learn more?
(Other definitions for doubts that I've seen before include "Suspicions" , "Has reservations, is uncertain" , "Thinks something unlikely" , "Misgivings" , "Isn't certain about, has reservations" .)