Could you please provide us some details about your hard-drive, especially about the way it is formatted (FAT32 or NTFS).
At first, download and install the latest version of Origin at www.origin.com/download (and make sure you have your Origin account ready as well)
Close the origin client and go directly to you origin folder C:\Program Files\Origin Games. Run the origin.exe in this folder with a rightclick -> run as administrator. Try to re-install your Direct-X as well.
Try to deactivate your firewall/antivirus software and/or check the online ports of your connection:
TCP: 80, 443, 9988, 20000-20100, 22990, 17502, 42127
UDP: 3659, 14000-14016, 22990-23006, 25200-25300
For specific instructions on how to open your ports, please visit http://www.portforward.com/ or contact your router manufacturer.
Please let us now, if this problem after this workaround still exist.
Cheers
Basti
