Thank you for answering, Andrei.
I use 6.5.0. version.
1) They seem to be alright. I don't think it's the case, because manual search in FreeDB returns exactly the same error.
(to be precise: Task: Amazon search; Status: Не удается найти указанный файл (Cannot find file).
2) I've disabled firewall as you've said. Doesn't help

Maybe I should reinstall the program from the scratch? But how not to lost my registration and my database?
Mikhail.