Thank you very much for the recommendations. At least it sems everyone has its own way to solve that problem. I switch it on for a couple of hours (the lamp blinked all the time), after that I switch it off for a night, and finally at the morning I restarted it and surpisingly paired the cellphone. After that, first thing, I upgadeed the firmware and everything started to work properly.
Defenetly it takes me more time that I plan :), however, I realy enjoy the product, and will buy anther one, probably.
Now I think I know how to resolve the bugs, if any