I could not connect to server when I rebooted.
This is probably caused by the 3 fixes done with the HJT program here:
O17 - HKLM\System\CCS\Services\Tcpip\..\{10D44058-2415-454A-B693-4CADCE2AAEEA}: NameServer = 192.168.1.1

Those entries, three of them needed fixing because normally these either would not be showing and if they do they should point to your Internet Provider, these did not. As search for this number did not provide a result. Which pointed to a possible domain hack of the computer.

Let's try to fix this by using LSPFix

LSP-Fix is a free Windows utility to repair a loss of Internet access associated with certain types of software. This type of software, known as a Layered Service Provider or LSP, typically handles low-level Internet-related tasks, and data is passed through a chain of these programs on its way to and from the Internet. However, due to bugs in the LSP software or deletion of the software, this chain can get broken, causing the Internet connection to become inaccessible.

You can either download the zip file if you can open those, or you can download lspfix.exe. Either one fits on a floppy disk.
If you are using the program on a machine that cannot open .zip files, or are downloading for a friend whom you're not sure can read .zip files, download the uncompressed files below instead. It will take a bit longer, but this way the program can be used as-is (e.g. from a floppy disk).
Try this and get back to me and lt me know what happened.

Log looks as if most files have been removed with the exception of one or two. We will try another small program to fix the remainders but you need to get this part fixed first.