The problem you have here is that the database contains several references to the domain on which WP was installed.
The easiest way to resolve this is to open up the export of your database in a text editor, then search/replace yourolddomain.com to yournewdomain.com.
Once this is done reimport the database onto your new server and all should be OK.
Hi there,
On examining the error shown on your Plesk page it appears that your PHP version does not meet the minimum requirements (4.3.0) to run WordPress, see Hosting WordPress.
This would also explain the white screen during the manual install if your hosting is set to supress error messages
