Hi, finally I can 'steal' sometime to do some check. I did try LiveCD, and yes, it won't mount. Then I think it's because of the Bad Sector, so I did short test provided by seatools (some kind of HDD analyser, I think) and it agree with my opinion.
Then I did the long test, I left to sleep and it did not finish. Finally, yesterday morning, I did "Zero all tracks" (same with Low Level Formatting, I suppose). Now, I have a "Brand New"
10 GiB DIsk. I think I shall install Celena or Daryna on it later this week.
Thanks for everybody who responded this message, sorry if I bothered all of you.
Now, probably I shall call this problem "SOLVED". Thanks.