Have you tried using the Restore option in windows to go back to a time when your Origin program worked?
Sounds like you have some kind of denial of service virus on your system.
Go into Safe Mode with Networking, download, install, update and run the Free Version of Malwarebytes:http://www.malwarebytes.org/
While in Safe Mode, download and run Smitfraudfix. If it wants to update, let it, then run the Clean option:http://siri.geekstogo.com/SmitfraudFix.php
You can also try Kaspersky Emergency Disk, make it on another computer and boot to the disk you made from the image you downloaded:http://support.kaspersky.com/4162