Here's what happened: I started Avast free scanner, it asked to reboot the laptop and continued to scan in it's pre-WindowsXP mode. Found some viruses, and asked what to do. I have entered "delete all" - nothing happened, the comp was already "frozen" and nothing helped. The only way was to shut it down by power button.
On the nex boot, I mentioned that all my "network connections" were lost. No icon in the taskbar, no icon in the folder.
I have scanned once more with Avast, deleted all viruses, but still nothing.
Here is the screenshot.