From: Wetish
Are you in safe mode? You need to be. Otherwise the virus is still running and will probably prevent you from running virus scans.
Safe mode does not stop a virus from running.. Especially if they melt. Meaning they can melt/merge into explorer.exe or into any browser so that when you run the browser or when explorer loads, the virus loads as well. That's how you can make a virus auto start without using the registry or startup.. Lol. A lot of the time most of them just inject into explorer instead while the file is hidden somewhere else. Accomplishes the same thing but usually installs as a service or uses a registry key to start and inject itself. Viruses also hook themselves.. Hooking exit process from WinAPI so that when you terminate it, it starts itself before termination or noops the call.
@OP:
I'd check the run and run once keys in the registry. I'd monitor out going connections with wire shark or similar. I'd remove Skype. Use process explorer to check for hidden running procceses. Right click each process and reveal the file's location (from process explorer not task manager).. Most viruses install to appdata, roaming, temp, windows, system32 and program files. Some virus kits allow you to customize them to install to custom locations instead and usually the folder has hidden attributes.
Outgoing connections to a noip address is extremely common. Get an antivirus.
Good luck.