For those of you who have been following this saga...
Yesterday I found the courage to try AVAST again... and guess what?
It did the exact same things as mentioned before in this thread,
only this time I sent a message to Mozilla forum.
The first posting suggested I remove saved account passwords and guess what? It's worked! (phew!)
No more password requests! Zilch, niente, da nada!
Just want to thank once again the good people here who have tried to help me resolve this issue. Very friendly and collaborative!
And of course, to AVAST for offering us this freebie!