It seems like something blocks your HTTPS traffic, which indeed affects windows update to work correctly.
This could be due to a proxy server being incorrectly used, or a firewall blocking the correct ports.
Here are some steps you could try.
Solution 1
Check if you are using a proxy server. If you do, double check the settings in the Internet Explorer and make sure that the proxy does not require a username or password to connect. If it does, the easiest way is to disable the proxy server during the duration of the windows update, although you can also create a workaround by setting your firewall to allow the connection to the Windows Update directly without going through the proxy.
Solution 2
If your computer has been infested with spyware in the past – or it is at the moment – then the spyware might have modified your Internet Explorer settings to use a proxy server. Open the cmd.exe program (by typing CMD in the start menu) and issue the following command: netsh winhttp import proxy source=ie
Solution 3
Some dll files might have become unregistered – due to various factors – which could trigger the windows update error 80072ee2. In this case, open cmd.exe, and register the following dlls: oleaut32.dll, jscript.dll, vbscript.dll, msxml.dll, softpub.dll, wintrust.dll, initpki.dll, cryptdlg.dll. You can register a dll by typing regsvr32 {name of the dll}
.
Solution 4
This is the rarest occurrence that may cause the windows update error 80072ee2, but your computer’s MTU setting might be incorrect. In this case, you simply have to set the MTU value to 1492 and try the windows update again.
source: http://theitbros.com/how-to-solve-the-windows-update-error-80072ee2/
This link also has a solution 5, but that solution is specifically for windows update and is not relevant for you, so I left it out.
What error messages do you get? Both for windows updates and for accessing https links? And regarding browsing, which browser do you use, and in case it is https, do you get an error page and if so, what does it tell you? – LPChip – 2014-12-11T22:18:13.207
Message I'm getting says "This page can't be displayed...make sure th web address https://www.chase.com is correct. I was using Explorer 11 and then I also downloaded Firefox but same results.
– Syed – 2014-12-11T22:41:12.680For windows udpate I'm getting Error 80072EE2. – Syed – 2014-12-11T22:43:51.740