I installed a fresh patch of msi with validated code in my server. However, the CME does not load and just freezes as below. Where do I start looking for the error?
Open firebug or some sort of debug tool.
You'll find a call that looks more or less like this:
http://servername/WebUI/Editors/CME/Views/Dashboard/Dashboard_v18.104.22.168920.11_.aspx?mode=js (in your case that v6.1... should probably be v7.0...., since you are on 2013 GA).
Copy that URL and load it in the browser, it should show you a .NET error trace that will help you identify what failed. The most typical cause is that an extension is mapped to a file location that doesn't exist.
There are very good resources on SDL Live Content site for UI Troubleshooting, check below link.
Troubleshooting browser-based user interfaces (Login Required)