Hello Cheetah12,
Thank you for your reply. I was trying to pring to with many programs - notepad, word, simple txt files, the result was the same. I've tried all steps listed in Can't Print? Print Jobs are Stuck in the Print Queue article with no success. And yes, I'm using 2.0 cable.
Recently I've reinstalled printer drivers and also installed this patch of HP Print Software for Windows 7. My device printed several documents from various successfully and I've switched my computer off. But when I've switched it on again, it stop printing again with documents collecting in print queue. So, now I have to restart the print spooler every time a need to print a file, which is not convenient, of course.