TS4123 After following ALL apple advise, iTunes store still will not run....

Question

After exhausting all suggestions on the iTunes pages, I still can not get access to the iTunes store. All software is up to date & iTunes has been uninstalled & re-installed with no effect. All functions of the player are fine, but there is no access to the store or the updater. I have also used the "autoruns" program suggested with no help there either.
Microsoft Windows XP Professional Service Pack 2 (Build 2600)
HP Pavilion 061 RR789AA-ABA a1646x
iTunes 11.1.5.5
QuickTime 7.7.5
FairPlay 2.5.16
Apple Application Support 3.0.1
iPod Updater Library 11.1f5
CD Driver 2.2.3.0
CD Driver DLL 2.1.3.1
Apple Mobile Device 7.1.1.3
Apple Mobile Device Driver 1.64.0.0
Bonjour 3.0.0.10
Gracenote SDK 1.9.6.502
Gracenote MusicID 1.9.6.115
Gracenote Submit 1.9.6.143
Gracenote DSP 1.9.6.45
iTunes Serial Number 0012B7580D97C400
Current user is an administrator.
The current local date and time is 2014-04-27 20:33:16.
iTunes is not running in safe mode.
WebKit accelerated compositing is enabled.
HDCP is not supported.
Core Media is not supported. (16005)
Video Display Information
Intel(R)  G965 Express Chipset Family
**** External Plug-ins Information ****
No external plug-ins installed.
iPodService 11.1.5.5 is currently running.
iTunesHelper is currently not running.
Apple Mobile Device service 3.3.0.0 is currently running.
**** Network Connectivity Tests ****
Network Adapter Information
Adapter Name:    {5A2E3825-CB3D-4C98-8F0F-1C98FA4AEE30}
Description:    Intel(R) 82562V 10/100 Network Connection - Packet Scheduler Miniport
IP Address:    192.168.1.101
Subnet Mask:    255.255.255.0
Default Gateway:    192.168.1.1
DHCP Enabled:    Yes
DHCP Server:    192.168.1.1
Lease Obtained:    Sun Apr 27 13:27:38 2014
Lease Expires:    Mon Apr 28 13:27:38 2014
DNS Servers:    209.18.47.61
        209.18.47.62
Active Connection:    LAN Connection
Connected:    Yes
Online:        Yes
Using Modem:    No
Using LAN:    Yes
Using Proxy:    No
Firewall Information
Windows Firewall is on.
iTunes is enabled in Windows Firewall.
Connection attempt to Apple web site was successful.
Connection attempt to browsing iTunes Store was successful.
Connection attempt to purchasing from iTunes Store was successful.
Connection attempt to iPhone activation server was successful.
Connection attempt to firmware update server was unsuccessful.
An unknown error occurred (0x80096004).
Connection attempt to Gracenote server was successful.
Last successful iTunes Store access was 2014-04-27 20:32:27.

Answer 1

What happens when you try to open iTunes?
Does it just hang with iTunes.exe running i=on the processes tab in the Task manager even though it never opens?
If so here are a couple of simple things to try:
A couple of simple things to try:
XP
http://support.apple.com/kb/TS1776?viewlocale=en_US
Vista or Win7
http://support.apple.com/kb/TS2363?viewlocale=en_US
Stop the bonjour service, this FAQ has instructions:
http://support.apple.com/kb/HT2250?viewlocale=en_US
If stopping the Bonjour service works, it can be uninsatlled if you don't need what Bonjour does.