Caution: If you have scripted your Search Service Application (eg. AutoSPInstaller) in SharePoint 2013 your search based pages could end up like this

Important!
If you have scripted your SSA, make sure the farm account has db_owner on your search db’s, or you may find yourself in a lot of trouble one day!

Installing SharePoint 2010 with AutoSPInstaller on Windows Server 2012

The bad news;  this will not work out of the box. The good news; it’s not that hard to fix.
The issues are related to PowerShell v2 vs. v3 and .NET runtime v2 vs. v4. The catch 22 is that SharePoint commandlets requires PowerShell v2 with .NET runtime v2, while the WebAdministration commandslets in Windows Server 2012 requires PowerShell v3 and .NET runtime v4.