... and in the log there is "INTERNET CONNECTION RESET, INTERNET NAME NOT RESOLVED" or "INTERNET CAN NOT CONNECT" message.

Typically, this can happen after program's update (installing a new version over the old one). For some reason, a system or third-party firewall or antivirus blocks access to the Internet for the updated program (which is seen from the messages in the log of the track). You should check the settings of the firewall and/or antivirus and allow access the Internet for the App.

One of the possible solutions (actual for Win8.1): Run the program as an administrator, only then the system and the antivirus will ask for confirmation to start the program and it's began to check the tracks.