Well, I guess my case is if not closed, a part of it solved at some level. I took another lens today. Tamron 135mm f/2.8 adaptall (CT-135). ISO400, 1/800, F8. Slightly underexposured.
I had more light today, though it was not sunny. Yesterday it was snowing and the weather was pretty cloudy.
It is always a mixture of choices. So many things affect the final result. But after all, it is a matter of taste which one you prefer. I think that my 80-200 is not a lens for shooting small birds on a cloudy day.
Thank you everyone for your friendly and most helpful comments!