Did you try setting up a test account? If unsure how, just ask.
In the test account, disable all security software which includes spyware, firewalls, adware, etc. and see if LW connects. Also install FrostWire and see if it connects in the Test account.

To set Java to Run as Admin. Go to the Start menu search box and type in java.exe and it will show under programs. Right-click and choose properties and compatibility and check option to Run as Admin. I don't know if it's necessary but you can also right-click and choose Run as Admin after that.