Hi Sergey251,
incompetent .... here. It is not clear from your report whether your problem happens only when you turn on a proxy or whether it does not matter if the proxy is on or off. Please note that the secure password storage is managed through Avast and the browser extension accesses it via encrypted HTTP communication. Can you please check the following:
* rigth click the taskbar, select "Task Manager", go to Details and make sure that both AvastSvc.exe and AvastUI.exe are running
* press the windows key, type "cmd", right click the "Command prompt" and select "Run as administrator". Then type "netstat -a -b" and see if the output contains
TCP 127.0.0.1:27275 <machine name> LISTENING
[avastsvc.exe]
alternatively, instead of 127.0.0.1:27275, 127.0.0.1:18821 or 127.0.0.1:7754 are also possible
The netstat output could be rather long, may be you will need to copy the output to a text editor and search for 27275, 18821 or 7754 there.